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Finding the Fourth Proportional to 1,385.72, 2,081.05 and 1,329.97

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Solution

The fourth proportional to 1,385.72, 2,081.05 and 1,329.97 is: 1,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.72 : 2,081.05 = 1,329.97 : x
  2. Step 2: Convert to fraction form
    1,385.72/2,081.05 = 1,329.97/x
  3. Step 3: Cross multiply
    1,385.72x = 2,081.05 × 1,329.97
  4. Step 4: Simplify right side
    1,385.72x = 2,767,734.07
  5. Step 5: Solve for x
    x = 2,767,734.07/1,385.72
  6. Step 6: Final answer
    x = 1,997.33

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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.