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Finding the Fourth Proportional to 3,144.11, 4,338.86 and 1,746.86

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Solution

The fourth proportional to 3,144.11, 4,338.86 and 1,746.86 is: 2,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.11 : 4,338.86 = 1,746.86 : x
  2. Step 2: Convert to fraction form
    3,144.11/4,338.86 = 1,746.86/x
  3. Step 3: Cross multiply
    3,144.11x = 4,338.86 × 1,746.86
  4. Step 4: Simplify right side
    3,144.11x = 7,579,350.55
  5. Step 5: Solve for x
    x = 7,579,350.55/3,144.11
  6. Step 6: Final answer
    x = 2,410.65

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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.