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Finding the Fourth Proportional to 2,642.81, 3,959.46 and 2,486.66

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Solution

The fourth proportional to 2,642.81, 3,959.46 and 2,486.66 is: 3,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.81 : 3,959.46 = 2,486.66 : x
  2. Step 2: Convert to fraction form
    2,642.81/3,959.46 = 2,486.66/x
  3. Step 3: Cross multiply
    2,642.81x = 3,959.46 × 2,486.66
  4. Step 4: Simplify right side
    2,642.81x = 9,845,811.01
  5. Step 5: Solve for x
    x = 9,845,811.01/2,642.81
  6. Step 6: Final answer
    x = 3,725.52

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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.