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Finding the Fourth Proportional to 2,617.48, 3,923.76 and 884.89

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Solution

The fourth proportional to 2,617.48, 3,923.76 and 884.89 is: 1,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.48 : 3,923.76 = 884.89 : x
  2. Step 2: Convert to fraction form
    2,617.48/3,923.76 = 884.89/x
  3. Step 3: Cross multiply
    2,617.48x = 3,923.76 × 884.89
  4. Step 4: Simplify right side
    2,617.48x = 3,472,095.99
  5. Step 5: Solve for x
    x = 3,472,095.99/2,617.48
  6. Step 6: Final answer
    x = 1,326.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.