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Finding the Fourth Proportional to 2,686.28, 3,709.14 and 2,164.76

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Solution

The fourth proportional to 2,686.28, 3,709.14 and 2,164.76 is: 2,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.28 : 3,709.14 = 2,164.76 : x
  2. Step 2: Convert to fraction form
    2,686.28/3,709.14 = 2,164.76/x
  3. Step 3: Cross multiply
    2,686.28x = 3,709.14 × 2,164.76
  4. Step 4: Simplify right side
    2,686.28x = 8,029,397.91
  5. Step 5: Solve for x
    x = 8,029,397.91/2,686.28
  6. Step 6: Final answer
    x = 2,989.04

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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.