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Finding the Fourth Proportional to 3,003.28, 4,503.20 and 922.74

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Solution

The fourth proportional to 3,003.28, 4,503.20 and 922.74 is: 1,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.28 : 4,503.20 = 922.74 : x
  2. Step 2: Convert to fraction form
    3,003.28/4,503.20 = 922.74/x
  3. Step 3: Cross multiply
    3,003.28x = 4,503.20 × 922.74
  4. Step 4: Simplify right side
    3,003.28x = 4,155,282.77
  5. Step 5: Solve for x
    x = 4,155,282.77/3,003.28
  6. Step 6: Final answer
    x = 1,383.58

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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.