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Finding the Fourth Proportional to 1,311.39, 1,976.15 and 1,248.82

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Solution

The fourth proportional to 1,311.39, 1,976.15 and 1,248.82 is: 1,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.39 : 1,976.15 = 1,248.82 : x
  2. Step 2: Convert to fraction form
    1,311.39/1,976.15 = 1,248.82/x
  3. Step 3: Cross multiply
    1,311.39x = 1,976.15 × 1,248.82
  4. Step 4: Simplify right side
    1,311.39x = 2,467,853.82
  5. Step 5: Solve for x
    x = 2,467,853.82/1,311.39
  6. Step 6: Final answer
    x = 1,881.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.