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Finding the Fourth Proportional to 1,187.87, 1,767.69 and 1,144.13

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Solution

The fourth proportional to 1,187.87, 1,767.69 and 1,144.13 is: 1,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.87 : 1,767.69 = 1,144.13 : x
  2. Step 2: Convert to fraction form
    1,187.87/1,767.69 = 1,144.13/x
  3. Step 3: Cross multiply
    1,187.87x = 1,767.69 × 1,144.13
  4. Step 4: Simplify right side
    1,187.87x = 2,022,458.32
  5. Step 5: Solve for x
    x = 2,022,458.32/1,187.87
  6. Step 6: Final answer
    x = 1,702.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.