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Finding the Fourth Proportional to 1,747.31, 2,621.03 and 514.72

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Solution

The fourth proportional to 1,747.31, 2,621.03 and 514.72 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.31 : 2,621.03 = 514.72 : x
  2. Step 2: Convert to fraction form
    1,747.31/2,621.03 = 514.72/x
  3. Step 3: Cross multiply
    1,747.31x = 2,621.03 × 514.72
  4. Step 4: Simplify right side
    1,747.31x = 1,349,096.56
  5. Step 5: Solve for x
    x = 1,349,096.56/1,747.31
  6. Step 6: Final answer
    x = 772.10

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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.