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Finding the Fourth Proportional to 1,244.82, 1,854.46 and 1,188.66

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Solution

The fourth proportional to 1,244.82, 1,854.46 and 1,188.66 is: 1,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.82 : 1,854.46 = 1,188.66 : x
  2. Step 2: Convert to fraction form
    1,244.82/1,854.46 = 1,188.66/x
  3. Step 3: Cross multiply
    1,244.82x = 1,854.46 × 1,188.66
  4. Step 4: Simplify right side
    1,244.82x = 2,204,322.42
  5. Step 5: Solve for x
    x = 2,204,322.42/1,244.82
  6. Step 6: Final answer
    x = 1,770.80

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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.