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Finding the Fourth Proportional to 2,659.82, 3,988.44 and 810.46

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Solution

The fourth proportional to 2,659.82, 3,988.44 and 810.46 is: 1,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.82 : 3,988.44 = 810.46 : x
  2. Step 2: Convert to fraction form
    2,659.82/3,988.44 = 810.46/x
  3. Step 3: Cross multiply
    2,659.82x = 3,988.44 × 810.46
  4. Step 4: Simplify right side
    2,659.82x = 3,232,471.08
  5. Step 5: Solve for x
    x = 3,232,471.08/2,659.82
  6. Step 6: Final answer
    x = 1,215.30

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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.