Home / 3,101.38-4,654.39-2,312.54

Finding the Fourth Proportional to 3,101.38, 4,654.39 and 2,312.54

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Solution

The fourth proportional to 3,101.38, 4,654.39 and 2,312.54 is: 3,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.38 : 4,654.39 = 2,312.54 : x
  2. Step 2: Convert to fraction form
    3,101.38/4,654.39 = 2,312.54/x
  3. Step 3: Cross multiply
    3,101.38x = 4,654.39 × 2,312.54
  4. Step 4: Simplify right side
    3,101.38x = 10,763,462.37
  5. Step 5: Solve for x
    x = 10,763,462.37/3,101.38
  6. Step 6: Final answer
    x = 3,470.54

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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.