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Finding the Fourth Proportional to 1,951.42, 2,691.21 and 1,288.95

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Solution

The fourth proportional to 1,951.42, 2,691.21 and 1,288.95 is: 1,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.42 : 2,691.21 = 1,288.95 : x
  2. Step 2: Convert to fraction form
    1,951.42/2,691.21 = 1,288.95/x
  3. Step 3: Cross multiply
    1,951.42x = 2,691.21 × 1,288.95
  4. Step 4: Simplify right side
    1,951.42x = 3,468,835.13
  5. Step 5: Solve for x
    x = 3,468,835.13/1,951.42
  6. Step 6: Final answer
    x = 1,777.60

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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.