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Finding the Fourth Proportional to 1,186.56, 1,765.44 and 1,160.64

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Solution

The fourth proportional to 1,186.56, 1,765.44 and 1,160.64 is: 1,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.56 : 1,765.44 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    1,186.56/1,765.44 = 1,160.64/x
  3. Step 3: Cross multiply
    1,186.56x = 1,765.44 × 1,160.64
  4. Step 4: Simplify right side
    1,186.56x = 2,049,040.28
  5. Step 5: Solve for x
    x = 2,049,040.28/1,186.56
  6. Step 6: Final answer
    x = 1,726.87

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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.