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Finding the Fourth Proportional to 1,555.10, 2,332.16 and 514.87

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Solution

The fourth proportional to 1,555.10, 2,332.16 and 514.87 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.10 : 2,332.16 = 514.87 : x
  2. Step 2: Convert to fraction form
    1,555.10/2,332.16 = 514.87/x
  3. Step 3: Cross multiply
    1,555.10x = 2,332.16 × 514.87
  4. Step 4: Simplify right side
    1,555.10x = 1,200,747.56
  5. Step 5: Solve for x
    x = 1,200,747.56/1,555.10
  6. Step 6: Final answer
    x = 772.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.