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Finding the Fourth Proportional to 1,951.30, 2,927.46 and 855.88

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Solution

The fourth proportional to 1,951.30, 2,927.46 and 855.88 is: 1,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.30 : 2,927.46 = 855.88 : x
  2. Step 2: Convert to fraction form
    1,951.30/2,927.46 = 855.88/x
  3. Step 3: Cross multiply
    1,951.30x = 2,927.46 × 855.88
  4. Step 4: Simplify right side
    1,951.30x = 2,505,554.46
  5. Step 5: Solve for x
    x = 2,505,554.46/1,951.30
  6. Step 6: Final answer
    x = 1,284.04

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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.