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Finding the Fourth Proportional to 2,747.19, 4,120.80 and 898.27

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Solution

The fourth proportional to 2,747.19, 4,120.80 and 898.27 is: 1,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.19 : 4,120.80 = 898.27 : x
  2. Step 2: Convert to fraction form
    2,747.19/4,120.80 = 898.27/x
  3. Step 3: Cross multiply
    2,747.19x = 4,120.80 × 898.27
  4. Step 4: Simplify right side
    2,747.19x = 3,701,591.02
  5. Step 5: Solve for x
    x = 3,701,591.02/2,747.19
  6. Step 6: Final answer
    x = 1,347.41

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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.