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Finding the Fourth Proportional to 2,086.43, 3,130.52 and 916.70

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Solution

The fourth proportional to 2,086.43, 3,130.52 and 916.70 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.43 : 3,130.52 = 916.70 : x
  2. Step 2: Convert to fraction form
    2,086.43/3,130.52 = 916.70/x
  3. Step 3: Cross multiply
    2,086.43x = 3,130.52 × 916.70
  4. Step 4: Simplify right side
    2,086.43x = 2,869,727.45
  5. Step 5: Solve for x
    x = 2,869,727.45/2,086.43
  6. Step 6: Final answer
    x = 1,375.43

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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.