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Finding the Fourth Proportional to 2,712.81, 4,069.52 and 1,069.14

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Solution

The fourth proportional to 2,712.81, 4,069.52 and 1,069.14 is: 1,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.81 : 4,069.52 = 1,069.14 : x
  2. Step 2: Convert to fraction form
    2,712.81/4,069.52 = 1,069.14/x
  3. Step 3: Cross multiply
    2,712.81x = 4,069.52 × 1,069.14
  4. Step 4: Simplify right side
    2,712.81x = 4,350,886.61
  5. Step 5: Solve for x
    x = 4,350,886.61/2,712.81
  6. Step 6: Final answer
    x = 1,603.83

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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.