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Finding the Fourth Proportional to 1,686.28, 2,527.68 and 819.52

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Solution

The fourth proportional to 1,686.28, 2,527.68 and 819.52 is: 1,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.28 : 2,527.68 = 819.52 : x
  2. Step 2: Convert to fraction form
    1,686.28/2,527.68 = 819.52/x
  3. Step 3: Cross multiply
    1,686.28x = 2,527.68 × 819.52
  4. Step 4: Simplify right side
    1,686.28x = 2,071,484.31
  5. Step 5: Solve for x
    x = 2,071,484.31/1,686.28
  6. Step 6: Final answer
    x = 1,228.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.