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Finding the Fourth Proportional to 1,512.75, 2,087.33 and 883.11

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Solution

The fourth proportional to 1,512.75, 2,087.33 and 883.11 is: 1,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.75 : 2,087.33 = 883.11 : x
  2. Step 2: Convert to fraction form
    1,512.75/2,087.33 = 883.11/x
  3. Step 3: Cross multiply
    1,512.75x = 2,087.33 × 883.11
  4. Step 4: Simplify right side
    1,512.75x = 1,843,337.58
  5. Step 5: Solve for x
    x = 1,843,337.58/1,512.75
  6. Step 6: Final answer
    x = 1,218.53

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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.