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Finding the Fourth Proportional to 3,069.52, 4,601.70 and 1,120.60

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Solution

The fourth proportional to 3,069.52, 4,601.70 and 1,120.60 is: 1,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.52 : 4,601.70 = 1,120.60 : x
  2. Step 2: Convert to fraction form
    3,069.52/4,601.70 = 1,120.60/x
  3. Step 3: Cross multiply
    3,069.52x = 4,601.70 × 1,120.60
  4. Step 4: Simplify right side
    3,069.52x = 5,156,665.02
  5. Step 5: Solve for x
    x = 5,156,665.02/3,069.52
  6. Step 6: Final answer
    x = 1,679.96

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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.