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Finding the Fourth Proportional to 3,349.74, 5,024.86 and 884.53

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Solution

The fourth proportional to 3,349.74, 5,024.86 and 884.53 is: 1,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.74 : 5,024.86 = 884.53 : x
  2. Step 2: Convert to fraction form
    3,349.74/5,024.86 = 884.53/x
  3. Step 3: Cross multiply
    3,349.74x = 5,024.86 × 884.53
  4. Step 4: Simplify right side
    3,349.74x = 4,444,643.49
  5. Step 5: Solve for x
    x = 4,444,643.49/3,349.74
  6. Step 6: Final answer
    x = 1,326.86

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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.