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Finding the Fourth Proportional to 2,613.69, 3,920.54 and 1,297.17

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Solution

The fourth proportional to 2,613.69, 3,920.54 and 1,297.17 is: 1,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.69 : 3,920.54 = 1,297.17 : x
  2. Step 2: Convert to fraction form
    2,613.69/3,920.54 = 1,297.17/x
  3. Step 3: Cross multiply
    2,613.69x = 3,920.54 × 1,297.17
  4. Step 4: Simplify right side
    2,613.69x = 5,085,600.39
  5. Step 5: Solve for x
    x = 5,085,600.39/2,613.69
  6. Step 6: Final answer
    x = 1,945.76

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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.