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Finding the Fourth Proportional to 3,002.88, 4,505.62 and 1,614.59

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Solution

The fourth proportional to 3,002.88, 4,505.62 and 1,614.59 is: 2,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.88 : 4,505.62 = 1,614.59 : x
  2. Step 2: Convert to fraction form
    3,002.88/4,505.62 = 1,614.59/x
  3. Step 3: Cross multiply
    3,002.88x = 4,505.62 × 1,614.59
  4. Step 4: Simplify right side
    3,002.88x = 7,274,736.22
  5. Step 5: Solve for x
    x = 7,274,736.22/3,002.88
  6. Step 6: Final answer
    x = 2,422.59

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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.