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Finding the Fourth Proportional to 2,705.87, 3,732.91 and 1,586.24

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Solution

The fourth proportional to 2,705.87, 3,732.91 and 1,586.24 is: 2,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.87 : 3,732.91 = 1,586.24 : x
  2. Step 2: Convert to fraction form
    2,705.87/3,732.91 = 1,586.24/x
  3. Step 3: Cross multiply
    2,705.87x = 3,732.91 × 1,586.24
  4. Step 4: Simplify right side
    2,705.87x = 5,921,291.16
  5. Step 5: Solve for x
    x = 5,921,291.16/2,705.87
  6. Step 6: Final answer
    x = 2,188.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.