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Finding the Fourth Proportional to 3,002.88, 4,500.24 and 1,152.24

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Solution

The fourth proportional to 3,002.88, 4,500.24 and 1,152.24 is: 1,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.88 : 4,500.24 = 1,152.24 : x
  2. Step 2: Convert to fraction form
    3,002.88/4,500.24 = 1,152.24/x
  3. Step 3: Cross multiply
    3,002.88x = 4,500.24 × 1,152.24
  4. Step 4: Simplify right side
    3,002.88x = 5,185,356.54
  5. Step 5: Solve for x
    x = 5,185,356.54/3,002.88
  6. Step 6: Final answer
    x = 1,726.79

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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.