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Finding the Fourth Proportional to 1,387.90, 2,081.64 and 839.94

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Solution

The fourth proportional to 1,387.90, 2,081.64 and 839.94 is: 1,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.90 : 2,081.64 = 839.94 : x
  2. Step 2: Convert to fraction form
    1,387.90/2,081.64 = 839.94/x
  3. Step 3: Cross multiply
    1,387.90x = 2,081.64 × 839.94
  4. Step 4: Simplify right side
    1,387.90x = 1,748,452.70
  5. Step 5: Solve for x
    x = 1,748,452.70/1,387.90
  6. Step 6: Final answer
    x = 1,259.78

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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.