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Finding the Fourth Proportional to 2,314.60, 3,471.90 and 1,609.90

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Solution

The fourth proportional to 2,314.60, 3,471.90 and 1,609.90 is: 2,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.60 : 3,471.90 = 1,609.90 : x
  2. Step 2: Convert to fraction form
    2,314.60/3,471.90 = 1,609.90/x
  3. Step 3: Cross multiply
    2,314.60x = 3,471.90 × 1,609.90
  4. Step 4: Simplify right side
    2,314.60x = 5,589,411.81
  5. Step 5: Solve for x
    x = 5,589,411.81/2,314.60
  6. Step 6: Final answer
    x = 2,414.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.