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Finding the Fourth Proportional to 2,610.80, 3,897.21 and 2,418.06

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Solution

The fourth proportional to 2,610.80, 3,897.21 and 2,418.06 is: 3,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.80 : 3,897.21 = 2,418.06 : x
  2. Step 2: Convert to fraction form
    2,610.80/3,897.21 = 2,418.06/x
  3. Step 3: Cross multiply
    2,610.80x = 3,897.21 × 2,418.06
  4. Step 4: Simplify right side
    2,610.80x = 9,423,687.61
  5. Step 5: Solve for x
    x = 9,423,687.61/2,610.80
  6. Step 6: Final answer
    x = 3,609.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.