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Finding the Fourth Proportional to 1,872.68, 2,584.27 and 1,033.36

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Solution

The fourth proportional to 1,872.68, 2,584.27 and 1,033.36 is: 1,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.68 : 2,584.27 = 1,033.36 : x
  2. Step 2: Convert to fraction form
    1,872.68/2,584.27 = 1,033.36/x
  3. Step 3: Cross multiply
    1,872.68x = 2,584.27 × 1,033.36
  4. Step 4: Simplify right side
    1,872.68x = 2,670,472.20
  5. Step 5: Solve for x
    x = 2,670,472.20/1,872.68
  6. Step 6: Final answer
    x = 1,426.02

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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.