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Finding the Fourth Proportional to 1,915.28, 2,872.96 and 1,267.28

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Solution

The fourth proportional to 1,915.28, 2,872.96 and 1,267.28 is: 1,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.28 : 2,872.96 = 1,267.28 : x
  2. Step 2: Convert to fraction form
    1,915.28/2,872.96 = 1,267.28/x
  3. Step 3: Cross multiply
    1,915.28x = 2,872.96 × 1,267.28
  4. Step 4: Simplify right side
    1,915.28x = 3,640,844.75
  5. Step 5: Solve for x
    x = 3,640,844.75/1,915.28
  6. Step 6: Final answer
    x = 1,900.95

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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.