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Finding the Fourth Proportional to 3,146.82, 4,342.60 and 1,749.57

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Solution

The fourth proportional to 3,146.82, 4,342.60 and 1,749.57 is: 2,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.82 : 4,342.60 = 1,749.57 : x
  2. Step 2: Convert to fraction form
    3,146.82/4,342.60 = 1,749.57/x
  3. Step 3: Cross multiply
    3,146.82x = 4,342.60 × 1,749.57
  4. Step 4: Simplify right side
    3,146.82x = 7,597,682.68
  5. Step 5: Solve for x
    x = 7,597,682.68/3,146.82
  6. Step 6: Final answer
    x = 2,414.40

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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.