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Finding the Fourth Proportional to 2,878.74, 3,974.27 and 2,310.12

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Solution

The fourth proportional to 2,878.74, 3,974.27 and 2,310.12 is: 3,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.74 : 3,974.27 = 2,310.12 : x
  2. Step 2: Convert to fraction form
    2,878.74/3,974.27 = 2,310.12/x
  3. Step 3: Cross multiply
    2,878.74x = 3,974.27 × 2,310.12
  4. Step 4: Simplify right side
    2,878.74x = 9,181,029.06
  5. Step 5: Solve for x
    x = 9,181,029.06/2,878.74
  6. Step 6: Final answer
    x = 3,189.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.