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Finding the Fourth Proportional to 2,366.32, 3,549.10 and 635.08

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Solution

The fourth proportional to 2,366.32, 3,549.10 and 635.08 is: 952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.32 : 3,549.10 = 635.08 : x
  2. Step 2: Convert to fraction form
    2,366.32/3,549.10 = 635.08/x
  3. Step 3: Cross multiply
    2,366.32x = 3,549.10 × 635.08
  4. Step 4: Simplify right side
    2,366.32x = 2,253,962.43
  5. Step 5: Solve for x
    x = 2,253,962.43/2,366.32
  6. Step 6: Final answer
    x = 952.52

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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.