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Finding the Fourth Proportional to 3,043.68, 4,565.34 and 1,069.17

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Solution

The fourth proportional to 3,043.68, 4,565.34 and 1,069.17 is: 1,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.68 : 4,565.34 = 1,069.17 : x
  2. Step 2: Convert to fraction form
    3,043.68/4,565.34 = 1,069.17/x
  3. Step 3: Cross multiply
    3,043.68x = 4,565.34 × 1,069.17
  4. Step 4: Simplify right side
    3,043.68x = 4,881,124.57
  5. Step 5: Solve for x
    x = 4,881,124.57/3,043.68
  6. Step 6: Final answer
    x = 1,603.69

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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.