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Finding the Fourth Proportional to 3,101.70, 4,652.55 and 2,717.70

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Solution

The fourth proportional to 3,101.70, 4,652.55 and 2,717.70 is: 4,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.70 : 4,652.55 = 2,717.70 : x
  2. Step 2: Convert to fraction form
    3,101.70/4,652.55 = 2,717.70/x
  3. Step 3: Cross multiply
    3,101.70x = 4,652.55 × 2,717.70
  4. Step 4: Simplify right side
    3,101.70x = 12,644,235.14
  5. Step 5: Solve for x
    x = 12,644,235.14/3,101.70
  6. Step 6: Final answer
    x = 4,076.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.