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Finding the Fourth Proportional to 2,713.77, 4,071.24 and 1,414.89

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Solution

The fourth proportional to 2,713.77, 4,071.24 and 1,414.89 is: 2,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.77 : 4,071.24 = 1,414.89 : x
  2. Step 2: Convert to fraction form
    2,713.77/4,071.24 = 1,414.89/x
  3. Step 3: Cross multiply
    2,713.77x = 4,071.24 × 1,414.89
  4. Step 4: Simplify right side
    2,713.77x = 5,760,356.76
  5. Step 5: Solve for x
    x = 5,760,356.76/2,713.77
  6. Step 6: Final answer
    x = 2,122.64

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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.