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Finding the Fourth Proportional to 2,166.52, 3,245.70 and 1,069.60

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Solution

The fourth proportional to 2,166.52, 3,245.70 and 1,069.60 is: 1,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.52 : 3,245.70 = 1,069.60 : x
  2. Step 2: Convert to fraction form
    2,166.52/3,245.70 = 1,069.60/x
  3. Step 3: Cross multiply
    2,166.52x = 3,245.70 × 1,069.60
  4. Step 4: Simplify right side
    2,166.52x = 3,471,600.72
  5. Step 5: Solve for x
    x = 3,471,600.72/2,166.52
  6. Step 6: Final answer
    x = 1,602.39

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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.