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Finding the Fourth Proportional to 2,668.13, 4,002.29 and 1,497.21

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Solution

The fourth proportional to 2,668.13, 4,002.29 and 1,497.21 is: 2,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.13 : 4,002.29 = 1,497.21 : x
  2. Step 2: Convert to fraction form
    2,668.13/4,002.29 = 1,497.21/x
  3. Step 3: Cross multiply
    2,668.13x = 4,002.29 × 1,497.21
  4. Step 4: Simplify right side
    2,668.13x = 5,992,268.61
  5. Step 5: Solve for x
    x = 5,992,268.61/2,668.13
  6. Step 6: Final answer
    x = 2,245.87

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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.