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Finding the Fourth Proportional to 1,139.15, 1,572.39 and 1,026.42

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Solution

The fourth proportional to 1,139.15, 1,572.39 and 1,026.42 is: 1,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.15 : 1,572.39 = 1,026.42 : x
  2. Step 2: Convert to fraction form
    1,139.15/1,572.39 = 1,026.42/x
  3. Step 3: Cross multiply
    1,139.15x = 1,572.39 × 1,026.42
  4. Step 4: Simplify right side
    1,139.15x = 1,613,932.54
  5. Step 5: Solve for x
    x = 1,613,932.54/1,139.15
  6. Step 6: Final answer
    x = 1,416.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.