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Finding the Fourth Proportional to 2,712.08, 4,069.56 and 1,414.64

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Solution

The fourth proportional to 2,712.08, 4,069.56 and 1,414.64 is: 2,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.08 : 4,069.56 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,712.08/4,069.56 = 1,414.64/x
  3. Step 3: Cross multiply
    2,712.08x = 4,069.56 × 1,414.64
  4. Step 4: Simplify right side
    2,712.08x = 5,756,962.36
  5. Step 5: Solve for x
    x = 5,756,962.36/2,712.08
  6. Step 6: Final answer
    x = 2,122.71

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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.