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Finding the Fourth Proportional to 2,562.83, 3,844.25 and 919.48

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Solution

The fourth proportional to 2,562.83, 3,844.25 and 919.48 is: 1,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.83 : 3,844.25 = 919.48 : x
  2. Step 2: Convert to fraction form
    2,562.83/3,844.25 = 919.48/x
  3. Step 3: Cross multiply
    2,562.83x = 3,844.25 × 919.48
  4. Step 4: Simplify right side
    2,562.83x = 3,534,710.99
  5. Step 5: Solve for x
    x = 3,534,710.99/2,562.83
  6. Step 6: Final answer
    x = 1,379.22

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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.