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Finding the Fourth Proportional to 2,633.96, 3,948.16 and 2,497.24

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Solution

The fourth proportional to 2,633.96, 3,948.16 and 2,497.24 is: 3,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.96 : 3,948.16 = 2,497.24 : x
  2. Step 2: Convert to fraction form
    2,633.96/3,948.16 = 2,497.24/x
  3. Step 3: Cross multiply
    2,633.96x = 3,948.16 × 2,497.24
  4. Step 4: Simplify right side
    2,633.96x = 9,859,503.08
  5. Step 5: Solve for x
    x = 9,859,503.08/2,633.96
  6. Step 6: Final answer
    x = 3,743.22

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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.