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Finding the Fourth Proportional to 2,744.92, 4,117.90 and 895.88

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Solution

The fourth proportional to 2,744.92, 4,117.90 and 895.88 is: 1,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.92 : 4,117.90 = 895.88 : x
  2. Step 2: Convert to fraction form
    2,744.92/4,117.90 = 895.88/x
  3. Step 3: Cross multiply
    2,744.92x = 4,117.90 × 895.88
  4. Step 4: Simplify right side
    2,744.92x = 3,689,144.25
  5. Step 5: Solve for x
    x = 3,689,144.25/2,744.92
  6. Step 6: Final answer
    x = 1,343.99

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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.