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Finding the Fourth Proportional to 3,146.89, 4,342.71 and 1,749.64

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Solution

The fourth proportional to 3,146.89, 4,342.71 and 1,749.64 is: 2,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.89 : 4,342.71 = 1,749.64 : x
  2. Step 2: Convert to fraction form
    3,146.89/4,342.71 = 1,749.64/x
  3. Step 3: Cross multiply
    3,146.89x = 4,342.71 × 1,749.64
  4. Step 4: Simplify right side
    3,146.89x = 7,598,179.12
  5. Step 5: Solve for x
    x = 7,598,179.12/3,146.89
  6. Step 6: Final answer
    x = 2,414.50

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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.