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Finding the Fourth Proportional to 2,023.71, 3,033.90 and 913.20

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Solution

The fourth proportional to 2,023.71, 3,033.90 and 913.20 is: 1,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.71 : 3,033.90 = 913.20 : x
  2. Step 2: Convert to fraction form
    2,023.71/3,033.90 = 913.20/x
  3. Step 3: Cross multiply
    2,023.71x = 3,033.90 × 913.20
  4. Step 4: Simplify right side
    2,023.71x = 2,770,557.48
  5. Step 5: Solve for x
    x = 2,770,557.48/2,023.71
  6. Step 6: Final answer
    x = 1,369.05

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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.