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Finding the Fourth Proportional to 2,659.84, 3,989.98 and 810.97

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Solution

The fourth proportional to 2,659.84, 3,989.98 and 810.97 is: 1,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.84 : 3,989.98 = 810.97 : x
  2. Step 2: Convert to fraction form
    2,659.84/3,989.98 = 810.97/x
  3. Step 3: Cross multiply
    2,659.84x = 3,989.98 × 810.97
  4. Step 4: Simplify right side
    2,659.84x = 3,235,745.12
  5. Step 5: Solve for x
    x = 3,235,745.12/2,659.84
  6. Step 6: Final answer
    x = 1,216.52

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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.