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Finding the Fourth Proportional to 1,614.11, 2,420.64 and 518.21

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Solution

The fourth proportional to 1,614.11, 2,420.64 and 518.21 is: 777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.11 : 2,420.64 = 518.21 : x
  2. Step 2: Convert to fraction form
    1,614.11/2,420.64 = 518.21/x
  3. Step 3: Cross multiply
    1,614.11x = 2,420.64 × 518.21
  4. Step 4: Simplify right side
    1,614.11x = 1,254,387.75
  5. Step 5: Solve for x
    x = 1,254,387.75/1,614.11
  6. Step 6: Final answer
    x = 777.14

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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.