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Finding the Fourth Proportional to 1,812.71, 2,719.24 and 514.15

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Solution

The fourth proportional to 1,812.71, 2,719.24 and 514.15 is: 771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.71 : 2,719.24 = 514.15 : x
  2. Step 2: Convert to fraction form
    1,812.71/2,719.24 = 514.15/x
  3. Step 3: Cross multiply
    1,812.71x = 2,719.24 × 514.15
  4. Step 4: Simplify right side
    1,812.71x = 1,398,089.16
  5. Step 5: Solve for x
    x = 1,398,089.16/1,812.71
  6. Step 6: Final answer
    x = 771.27

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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.