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Finding the Fourth Proportional to 2,712.29, 4,065.68 and 1,069.99

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Solution

The fourth proportional to 2,712.29, 4,065.68 and 1,069.99 is: 1,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.29 : 4,065.68 = 1,069.99 : x
  2. Step 2: Convert to fraction form
    2,712.29/4,065.68 = 1,069.99/x
  3. Step 3: Cross multiply
    2,712.29x = 4,065.68 × 1,069.99
  4. Step 4: Simplify right side
    2,712.29x = 4,350,229.45
  5. Step 5: Solve for x
    x = 4,350,229.45/2,712.29
  6. Step 6: Final answer
    x = 1,603.90

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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.