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Finding the Fourth Proportional to 1,419.60, 2,129.39 and 1,001.42

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Solution

The fourth proportional to 1,419.60, 2,129.39 and 1,001.42 is: 1,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.60 : 2,129.39 = 1,001.42 : x
  2. Step 2: Convert to fraction form
    1,419.60/2,129.39 = 1,001.42/x
  3. Step 3: Cross multiply
    1,419.60x = 2,129.39 × 1,001.42
  4. Step 4: Simplify right side
    1,419.60x = 2,132,398.08
  5. Step 5: Solve for x
    x = 2,132,398.08/1,419.60
  6. Step 6: Final answer
    x = 1,502.11

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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.