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Finding the Fourth Proportional to 2,301.68, 3,454.14 and 2,081.36

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Solution

The fourth proportional to 2,301.68, 3,454.14 and 2,081.36 is: 3,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.68 : 3,454.14 = 2,081.36 : x
  2. Step 2: Convert to fraction form
    2,301.68/3,454.14 = 2,081.36/x
  3. Step 3: Cross multiply
    2,301.68x = 3,454.14 × 2,081.36
  4. Step 4: Simplify right side
    2,301.68x = 7,189,308.83
  5. Step 5: Solve for x
    x = 7,189,308.83/2,301.68
  6. Step 6: Final answer
    x = 3,123.50

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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.