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Finding the Fourth Proportional to 1,337.75, 2,005.83 and 1,187.85

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Solution

The fourth proportional to 1,337.75, 2,005.83 and 1,187.85 is: 1,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.75 : 2,005.83 = 1,187.85 : x
  2. Step 2: Convert to fraction form
    1,337.75/2,005.83 = 1,187.85/x
  3. Step 3: Cross multiply
    1,337.75x = 2,005.83 × 1,187.85
  4. Step 4: Simplify right side
    1,337.75x = 2,382,625.17
  5. Step 5: Solve for x
    x = 2,382,625.17/1,337.75
  6. Step 6: Final answer
    x = 1,781.08

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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.