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Finding the Fourth Proportional to 2,081.52, 3,145.90 and 2,045.68

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Solution

The fourth proportional to 2,081.52, 3,145.90 and 2,045.68 is: 3,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.52 : 3,145.90 = 2,045.68 : x
  2. Step 2: Convert to fraction form
    2,081.52/3,145.90 = 2,045.68/x
  3. Step 3: Cross multiply
    2,081.52x = 3,145.90 × 2,045.68
  4. Step 4: Simplify right side
    2,081.52x = 6,435,504.71
  5. Step 5: Solve for x
    x = 6,435,504.71/2,081.52
  6. Step 6: Final answer
    x = 3,091.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.