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Finding the Fourth Proportional to 1,915.66, 2,867.82 and 1,182.88

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Solution

The fourth proportional to 1,915.66, 2,867.82 and 1,182.88 is: 1,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.66 : 2,867.82 = 1,182.88 : x
  2. Step 2: Convert to fraction form
    1,915.66/2,867.82 = 1,182.88/x
  3. Step 3: Cross multiply
    1,915.66x = 2,867.82 × 1,182.88
  4. Step 4: Simplify right side
    1,915.66x = 3,392,286.92
  5. Step 5: Solve for x
    x = 3,392,286.92/1,915.66
  6. Step 6: Final answer
    x = 1,770.82

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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.