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Finding the Fourth Proportional to 2,069.60, 3,105.30 and 1,043.60

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Solution

The fourth proportional to 2,069.60, 3,105.30 and 1,043.60 is: 1,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.60 : 3,105.30 = 1,043.60 : x
  2. Step 2: Convert to fraction form
    2,069.60/3,105.30 = 1,043.60/x
  3. Step 3: Cross multiply
    2,069.60x = 3,105.30 × 1,043.60
  4. Step 4: Simplify right side
    2,069.60x = 3,240,691.08
  5. Step 5: Solve for x
    x = 3,240,691.08/2,069.60
  6. Step 6: Final answer
    x = 1,565.85

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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.