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Finding the Fourth Proportional to 1,812.62, 2,719.16 and 514.11

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Solution

The fourth proportional to 1,812.62, 2,719.16 and 514.11 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.62 : 2,719.16 = 514.11 : x
  2. Step 2: Convert to fraction form
    1,812.62/2,719.16 = 514.11/x
  3. Step 3: Cross multiply
    1,812.62x = 2,719.16 × 514.11
  4. Step 4: Simplify right side
    1,812.62x = 1,397,944.78
  5. Step 5: Solve for x
    x = 1,397,944.78/1,812.62
  6. Step 6: Final answer
    x = 771.23

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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.