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Finding the Fourth Proportional to 2,747.93, 4,122.32 and 898.61

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Solution

The fourth proportional to 2,747.93, 4,122.32 and 898.61 is: 1,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.93 : 4,122.32 = 898.61 : x
  2. Step 2: Convert to fraction form
    2,747.93/4,122.32 = 898.61/x
  3. Step 3: Cross multiply
    2,747.93x = 4,122.32 × 898.61
  4. Step 4: Simplify right side
    2,747.93x = 3,704,332.87
  5. Step 5: Solve for x
    x = 3,704,332.87/2,747.93
  6. Step 6: Final answer
    x = 1,348.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.