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Finding the Fourth Proportional to 3,002.28, 4,501.72 and 921.72

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Solution

The fourth proportional to 3,002.28, 4,501.72 and 921.72 is: 1,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.28 : 4,501.72 = 921.72 : x
  2. Step 2: Convert to fraction form
    3,002.28/4,501.72 = 921.72/x
  3. Step 3: Cross multiply
    3,002.28x = 4,501.72 × 921.72
  4. Step 4: Simplify right side
    3,002.28x = 4,149,325.36
  5. Step 5: Solve for x
    x = 4,149,325.36/3,002.28
  6. Step 6: Final answer
    x = 1,382.06

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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.