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Finding the Fourth Proportional to 2,023.81, 3,033.10 and 925.75

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Solution

The fourth proportional to 2,023.81, 3,033.10 and 925.75 is: 1,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.81 : 3,033.10 = 925.75 : x
  2. Step 2: Convert to fraction form
    2,023.81/3,033.10 = 925.75/x
  3. Step 3: Cross multiply
    2,023.81x = 3,033.10 × 925.75
  4. Step 4: Simplify right side
    2,023.81x = 2,807,900.60
  5. Step 5: Solve for x
    x = 2,807,900.60/2,023.81
  6. Step 6: Final answer
    x = 1,387.43

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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.