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Finding the Fourth Proportional to 3,002.24, 4,504.03 and 922.43

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Solution

The fourth proportional to 3,002.24, 4,504.03 and 922.43 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.24 : 4,504.03 = 922.43 : x
  2. Step 2: Convert to fraction form
    3,002.24/4,504.03 = 922.43/x
  3. Step 3: Cross multiply
    3,002.24x = 4,504.03 × 922.43
  4. Step 4: Simplify right side
    3,002.24x = 4,154,641.20
  5. Step 5: Solve for x
    x = 4,154,641.20/3,002.24
  6. Step 6: Final answer
    x = 1,383.85

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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.