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Finding the Fourth Proportional to 1,379.52, 2,057.31 and 1,306.62

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Solution

The fourth proportional to 1,379.52, 2,057.31 and 1,306.62 is: 1,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.52 : 2,057.31 = 1,306.62 : x
  2. Step 2: Convert to fraction form
    1,379.52/2,057.31 = 1,306.62/x
  3. Step 3: Cross multiply
    1,379.52x = 2,057.31 × 1,306.62
  4. Step 4: Simplify right side
    1,379.52x = 2,688,122.39
  5. Step 5: Solve for x
    x = 2,688,122.39/1,379.52
  6. Step 6: Final answer
    x = 1,948.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.