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Finding the Fourth Proportional to 1,951.83, 2,927.57 and 911.59

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Solution

The fourth proportional to 1,951.83, 2,927.57 and 911.59 is: 1,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.83 : 2,927.57 = 911.59 : x
  2. Step 2: Convert to fraction form
    1,951.83/2,927.57 = 911.59/x
  3. Step 3: Cross multiply
    1,951.83x = 2,927.57 × 911.59
  4. Step 4: Simplify right side
    1,951.83x = 2,668,731.66
  5. Step 5: Solve for x
    x = 2,668,731.66/1,951.83
  6. Step 6: Final answer
    x = 1,367.30

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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.