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Finding the Fourth Proportional to 2,456.52, 3,685.80 and 1,069.60

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Solution

The fourth proportional to 2,456.52, 3,685.80 and 1,069.60 is: 1,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.52 : 3,685.80 = 1,069.60 : x
  2. Step 2: Convert to fraction form
    2,456.52/3,685.80 = 1,069.60/x
  3. Step 3: Cross multiply
    2,456.52x = 3,685.80 × 1,069.60
  4. Step 4: Simplify right side
    2,456.52x = 3,942,331.68
  5. Step 5: Solve for x
    x = 3,942,331.68/2,456.52
  6. Step 6: Final answer
    x = 1,604.84

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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.