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Finding the Fourth Proportional to 2,668.38, 4,002.65 and 1,206.58

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Solution

The fourth proportional to 2,668.38, 4,002.65 and 1,206.58 is: 1,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.38 : 4,002.65 = 1,206.58 : x
  2. Step 2: Convert to fraction form
    2,668.38/4,002.65 = 1,206.58/x
  3. Step 3: Cross multiply
    2,668.38x = 4,002.65 × 1,206.58
  4. Step 4: Simplify right side
    2,668.38x = 4,829,517.44
  5. Step 5: Solve for x
    x = 4,829,517.44/2,668.38
  6. Step 6: Final answer
    x = 1,809.91

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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.