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Finding the Fourth Proportional to 2,705.85, 3,734.12 and 1,587.59

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Solution

The fourth proportional to 2,705.85, 3,734.12 and 1,587.59 is: 2,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.85 : 3,734.12 = 1,587.59 : x
  2. Step 2: Convert to fraction form
    2,705.85/3,734.12 = 1,587.59/x
  3. Step 3: Cross multiply
    2,705.85x = 3,734.12 × 1,587.59
  4. Step 4: Simplify right side
    2,705.85x = 5,928,251.57
  5. Step 5: Solve for x
    x = 5,928,251.57/2,705.85
  6. Step 6: Final answer
    x = 2,190.90

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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.