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Finding the Fourth Proportional to 2,613.42, 3,920.50 and 969.83

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Solution

The fourth proportional to 2,613.42, 3,920.50 and 969.83 is: 1,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.42 : 3,920.50 = 969.83 : x
  2. Step 2: Convert to fraction form
    2,613.42/3,920.50 = 969.83/x
  3. Step 3: Cross multiply
    2,613.42x = 3,920.50 × 969.83
  4. Step 4: Simplify right side
    2,613.42x = 3,802,223.47
  5. Step 5: Solve for x
    x = 3,802,223.47/2,613.42
  6. Step 6: Final answer
    x = 1,454.88

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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.