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Finding the Fourth Proportional to 1,614.88, 2,416.44 and 1,380.78

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Solution

The fourth proportional to 1,614.88, 2,416.44 and 1,380.78 is: 2,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.88 : 2,416.44 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    1,614.88/2,416.44 = 1,380.78/x
  3. Step 3: Cross multiply
    1,614.88x = 2,416.44 × 1,380.78
  4. Step 4: Simplify right side
    1,614.88x = 3,336,572.02
  5. Step 5: Solve for x
    x = 3,336,572.02/1,614.88
  6. Step 6: Final answer
    x = 2,066.14

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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.