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Finding the Fourth Proportional to 2,663.76, 3,672.84 and 2,352.72

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Solution

The fourth proportional to 2,663.76, 3,672.84 and 2,352.72 is: 3,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.76 : 3,672.84 = 2,352.72 : x
  2. Step 2: Convert to fraction form
    2,663.76/3,672.84 = 2,352.72/x
  3. Step 3: Cross multiply
    2,663.76x = 3,672.84 × 2,352.72
  4. Step 4: Simplify right side
    2,663.76x = 8,641,164.12
  5. Step 5: Solve for x
    x = 8,641,164.12/2,663.76
  6. Step 6: Final answer
    x = 3,243.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.