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Finding the Fourth Proportional to 2,668.12, 4,001.16 and 1,280.58

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Solution

The fourth proportional to 2,668.12, 4,001.16 and 1,280.58 is: 1,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.12 : 4,001.16 = 1,280.58 : x
  2. Step 2: Convert to fraction form
    2,668.12/4,001.16 = 1,280.58/x
  3. Step 3: Cross multiply
    2,668.12x = 4,001.16 × 1,280.58
  4. Step 4: Simplify right side
    2,668.12x = 5,123,805.47
  5. Step 5: Solve for x
    x = 5,123,805.47/2,668.12
  6. Step 6: Final answer
    x = 1,920.38

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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.