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Finding the Fourth Proportional to 1,873.28, 2,585.12 and 1,033.96

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Solution

The fourth proportional to 1,873.28, 2,585.12 and 1,033.96 is: 1,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.28 : 2,585.12 = 1,033.96 : x
  2. Step 2: Convert to fraction form
    1,873.28/2,585.12 = 1,033.96/x
  3. Step 3: Cross multiply
    1,873.28x = 2,585.12 × 1,033.96
  4. Step 4: Simplify right side
    1,873.28x = 2,672,910.68
  5. Step 5: Solve for x
    x = 2,672,910.68/1,873.28
  6. Step 6: Final answer
    x = 1,426.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.