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Finding the Fourth Proportional to 2,715, 4,071.15 and 1,327.47

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Solution

The fourth proportional to 2,715, 4,071.15 and 1,327.47 is: 1,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715 : 4,071.15 = 1,327.47 : x
  2. Step 2: Convert to fraction form
    2,715/4,071.15 = 1,327.47/x
  3. Step 3: Cross multiply
    2,715x = 4,071.15 × 1,327.47
  4. Step 4: Simplify right side
    2,715x = 5,404,329.49
  5. Step 5: Solve for x
    x = 5,404,329.49/2,715
  6. Step 6: Final answer
    x = 1,990.54

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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.