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Finding the Fourth Proportional to 3,271.66, 4,514.54 and 1,855.17

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Solution

The fourth proportional to 3,271.66, 4,514.54 and 1,855.17 is: 2,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.66 : 4,514.54 = 1,855.17 : x
  2. Step 2: Convert to fraction form
    3,271.66/4,514.54 = 1,855.17/x
  3. Step 3: Cross multiply
    3,271.66x = 4,514.54 × 1,855.17
  4. Step 4: Simplify right side
    3,271.66x = 8,375,229.90
  5. Step 5: Solve for x
    x = 8,375,229.90/3,271.66
  6. Step 6: Final answer
    x = 2,559.93

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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.