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Finding the Fourth Proportional to 2,747.24, 4,120.27 and 898.41

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Solution

The fourth proportional to 2,747.24, 4,120.27 and 898.41 is: 1,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.24 : 4,120.27 = 898.41 : x
  2. Step 2: Convert to fraction form
    2,747.24/4,120.27 = 898.41/x
  3. Step 3: Cross multiply
    2,747.24x = 4,120.27 × 898.41
  4. Step 4: Simplify right side
    2,747.24x = 3,701,689.52
  5. Step 5: Solve for x
    x = 3,701,689.52/2,747.24
  6. Step 6: Final answer
    x = 1,347.42

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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.