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Finding the Fourth Proportional to 1,773.62, 2,447.97 and 1,185.14

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Solution

The fourth proportional to 1,773.62, 2,447.97 and 1,185.14 is: 1,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.62 : 2,447.97 = 1,185.14 : x
  2. Step 2: Convert to fraction form
    1,773.62/2,447.97 = 1,185.14/x
  3. Step 3: Cross multiply
    1,773.62x = 2,447.97 × 1,185.14
  4. Step 4: Simplify right side
    1,773.62x = 2,901,187.17
  5. Step 5: Solve for x
    x = 2,901,187.17/1,773.62
  6. Step 6: Final answer
    x = 1,635.74

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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.