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Finding the Fourth Proportional to 2,658.97, 3,988.61 and 810.15

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Solution

The fourth proportional to 2,658.97, 3,988.61 and 810.15 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.97 : 3,988.61 = 810.15 : x
  2. Step 2: Convert to fraction form
    2,658.97/3,988.61 = 810.15/x
  3. Step 3: Cross multiply
    2,658.97x = 3,988.61 × 810.15
  4. Step 4: Simplify right side
    2,658.97x = 3,231,372.39
  5. Step 5: Solve for x
    x = 3,231,372.39/2,658.97
  6. Step 6: Final answer
    x = 1,215.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.