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Finding the Fourth Proportional to 2,472.96, 3,701.76 and 1,448.96

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Solution

The fourth proportional to 2,472.96, 3,701.76 and 1,448.96 is: 2,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.96 : 3,701.76 = 1,448.96 : x
  2. Step 2: Convert to fraction form
    2,472.96/3,701.76 = 1,448.96/x
  3. Step 3: Cross multiply
    2,472.96x = 3,701.76 × 1,448.96
  4. Step 4: Simplify right side
    2,472.96x = 5,363,702.17
  5. Step 5: Solve for x
    x = 5,363,702.17/2,472.96
  6. Step 6: Final answer
    x = 2,168.94

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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.