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Finding the Fourth Proportional to 2,613.39, 3,918.17 and 969.94

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Solution

The fourth proportional to 2,613.39, 3,918.17 and 969.94 is: 1,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.39 : 3,918.17 = 969.94 : x
  2. Step 2: Convert to fraction form
    2,613.39/3,918.17 = 969.94/x
  3. Step 3: Cross multiply
    2,613.39x = 3,918.17 × 969.94
  4. Step 4: Simplify right side
    2,613.39x = 3,800,384.96
  5. Step 5: Solve for x
    x = 3,800,384.96/2,613.39
  6. Step 6: Final answer
    x = 1,454.20

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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.