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Finding the Fourth Proportional to 2,366.55, 3,549.87 and 635.13

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Solution

The fourth proportional to 2,366.55, 3,549.87 and 635.13 is: 952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.55 : 3,549.87 = 635.13 : x
  2. Step 2: Convert to fraction form
    2,366.55/3,549.87 = 635.13/x
  3. Step 3: Cross multiply
    2,366.55x = 3,549.87 × 635.13
  4. Step 4: Simplify right side
    2,366.55x = 2,254,628.93
  5. Step 5: Solve for x
    x = 2,254,628.93/2,366.55
  6. Step 6: Final answer
    x = 952.71

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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.