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Finding the Fourth Proportional to 3,146.66, 4,338.14 and 2,201.18

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Solution

The fourth proportional to 3,146.66, 4,338.14 and 2,201.18 is: 3,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.66 : 4,338.14 = 2,201.18 : x
  2. Step 2: Convert to fraction form
    3,146.66/4,338.14 = 2,201.18/x
  3. Step 3: Cross multiply
    3,146.66x = 4,338.14 × 2,201.18
  4. Step 4: Simplify right side
    3,146.66x = 9,549,027.01
  5. Step 5: Solve for x
    x = 9,549,027.01/3,146.66
  6. Step 6: Final answer
    x = 3,034.65

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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.