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Finding the Fourth Proportional to 1,713.24, 2,374.04 and 1,609.20

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Solution

The fourth proportional to 1,713.24, 2,374.04 and 1,609.20 is: 2,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.24 : 2,374.04 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    1,713.24/2,374.04 = 1,609.20/x
  3. Step 3: Cross multiply
    1,713.24x = 2,374.04 × 1,609.20
  4. Step 4: Simplify right side
    1,713.24x = 3,820,305.17
  5. Step 5: Solve for x
    x = 3,820,305.17/1,713.24
  6. Step 6: Final answer
    x = 2,229.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.