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Finding the Fourth Proportional to 2,712.87, 4,069.34 and 1,152.68

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Solution

The fourth proportional to 2,712.87, 4,069.34 and 1,152.68 is: 1,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.87 : 4,069.34 = 1,152.68 : x
  2. Step 2: Convert to fraction form
    2,712.87/4,069.34 = 1,152.68/x
  3. Step 3: Cross multiply
    2,712.87x = 4,069.34 × 1,152.68
  4. Step 4: Simplify right side
    2,712.87x = 4,690,620.72
  5. Step 5: Solve for x
    x = 4,690,620.72/2,712.87
  6. Step 6: Final answer
    x = 1,729.03

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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.