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Finding the Fourth Proportional to 1,584.75, 2,187.92 and 1,033.71

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Solution

The fourth proportional to 1,584.75, 2,187.92 and 1,033.71 is: 1,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.75 : 2,187.92 = 1,033.71 : x
  2. Step 2: Convert to fraction form
    1,584.75/2,187.92 = 1,033.71/x
  3. Step 3: Cross multiply
    1,584.75x = 2,187.92 × 1,033.71
  4. Step 4: Simplify right side
    1,584.75x = 2,261,669.61
  5. Step 5: Solve for x
    x = 2,261,669.61/1,584.75
  6. Step 6: Final answer
    x = 1,427.15

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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.