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Finding the Fourth Proportional to 1,579.82, 2,177.42 and 1,186.16

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Solution

The fourth proportional to 1,579.82, 2,177.42 and 1,186.16 is: 1,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.82 : 2,177.42 = 1,186.16 : x
  2. Step 2: Convert to fraction form
    1,579.82/2,177.42 = 1,186.16/x
  3. Step 3: Cross multiply
    1,579.82x = 2,177.42 × 1,186.16
  4. Step 4: Simplify right side
    1,579.82x = 2,582,768.51
  5. Step 5: Solve for x
    x = 2,582,768.51/1,579.82
  6. Step 6: Final answer
    x = 1,634.85

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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.