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Finding the Fourth Proportional to 1,732.62, 2,586.47 and 1,609.61

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Solution

The fourth proportional to 1,732.62, 2,586.47 and 1,609.61 is: 2,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.62 : 2,586.47 = 1,609.61 : x
  2. Step 2: Convert to fraction form
    1,732.62/2,586.47 = 1,609.61/x
  3. Step 3: Cross multiply
    1,732.62x = 2,586.47 × 1,609.61
  4. Step 4: Simplify right side
    1,732.62x = 4,163,187.00
  5. Step 5: Solve for x
    x = 4,163,187.00/1,732.62
  6. Step 6: Final answer
    x = 2,402.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.