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Finding the Fourth Proportional to 1,382.37, 2,073.15 and 1,138.29

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Solution

The fourth proportional to 1,382.37, 2,073.15 and 1,138.29 is: 1,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.37 : 2,073.15 = 1,138.29 : x
  2. Step 2: Convert to fraction form
    1,382.37/2,073.15 = 1,138.29/x
  3. Step 3: Cross multiply
    1,382.37x = 2,073.15 × 1,138.29
  4. Step 4: Simplify right side
    1,382.37x = 2,359,845.91
  5. Step 5: Solve for x
    x = 2,359,845.91/1,382.37
  6. Step 6: Final answer
    x = 1,707.10

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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.