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Finding the Fourth Proportional to 2,878.70, 3,968.95 and 2,207.28

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Solution

The fourth proportional to 2,878.70, 3,968.95 and 2,207.28 is: 3,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.70 : 3,968.95 = 2,207.28 : x
  2. Step 2: Convert to fraction form
    2,878.70/3,968.95 = 2,207.28/x
  3. Step 3: Cross multiply
    2,878.70x = 3,968.95 × 2,207.28
  4. Step 4: Simplify right side
    2,878.70x = 8,760,583.96
  5. Step 5: Solve for x
    x = 8,760,583.96/2,878.70
  6. Step 6: Final answer
    x = 3,043.24

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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.