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Finding the Fourth Proportional to 3,142, 4,335.96 and 1,744.76

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Solution

The fourth proportional to 3,142, 4,335.96 and 1,744.76 is: 2,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 4,335.96 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    3,142/4,335.96 = 1,744.76/x
  3. Step 3: Cross multiply
    3,142x = 4,335.96 × 1,744.76
  4. Step 4: Simplify right side
    3,142x = 7,565,209.57
  5. Step 5: Solve for x
    x = 7,565,209.57/3,142
  6. Step 6: Final answer
    x = 2,407.77

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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.