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Finding the Fourth Proportional to 2,878.81, 3,967.45 and 2,248.36

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Solution

The fourth proportional to 2,878.81, 3,967.45 and 2,248.36 is: 3,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.81 : 3,967.45 = 2,248.36 : x
  2. Step 2: Convert to fraction form
    2,878.81/3,967.45 = 2,248.36/x
  3. Step 3: Cross multiply
    2,878.81x = 3,967.45 × 2,248.36
  4. Step 4: Simplify right side
    2,878.81x = 8,920,255.88
  5. Step 5: Solve for x
    x = 8,920,255.88/2,878.81
  6. Step 6: Final answer
    x = 3,098.59

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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.