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Finding the Fourth Proportional to 3,138.39, 4,330.99 and 1,741.14

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Solution

The fourth proportional to 3,138.39, 4,330.99 and 1,741.14 is: 2,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.39 : 4,330.99 = 1,741.14 : x
  2. Step 2: Convert to fraction form
    3,138.39/4,330.99 = 1,741.14/x
  3. Step 3: Cross multiply
    3,138.39x = 4,330.99 × 1,741.14
  4. Step 4: Simplify right side
    3,138.39x = 7,540,851.22
  5. Step 5: Solve for x
    x = 7,540,851.22/3,138.39
  6. Step 6: Final answer
    x = 2,402.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.