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Finding the Fourth Proportional to 2,366.56, 3,549.36 and 634.78

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Solution

The fourth proportional to 2,366.56, 3,549.36 and 634.78 is: 952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.56 : 3,549.36 = 634.78 : x
  2. Step 2: Convert to fraction form
    2,366.56/3,549.36 = 634.78/x
  3. Step 3: Cross multiply
    2,366.56x = 3,549.36 × 634.78
  4. Step 4: Simplify right side
    2,366.56x = 2,253,062.74
  5. Step 5: Solve for x
    x = 2,253,062.74/2,366.56
  6. Step 6: Final answer
    x = 952.04

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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.