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Finding the Fourth Proportional to 2,686.57, 3,707.98 and 1,742.31

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Solution

The fourth proportional to 2,686.57, 3,707.98 and 1,742.31 is: 2,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.57 : 3,707.98 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    2,686.57/3,707.98 = 1,742.31/x
  3. Step 3: Cross multiply
    2,686.57x = 3,707.98 × 1,742.31
  4. Step 4: Simplify right side
    2,686.57x = 6,460,446.28
  5. Step 5: Solve for x
    x = 6,460,446.28/2,686.57
  6. Step 6: Final answer
    x = 2,404.72

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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.