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Finding the Fourth Proportional to 2,881.32, 3,978.59 and 2,042.97

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Solution

The fourth proportional to 2,881.32, 3,978.59 and 2,042.97 is: 2,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.32 : 3,978.59 = 2,042.97 : x
  2. Step 2: Convert to fraction form
    2,881.32/3,978.59 = 2,042.97/x
  3. Step 3: Cross multiply
    2,881.32x = 3,978.59 × 2,042.97
  4. Step 4: Simplify right side
    2,881.32x = 8,128,154.49
  5. Step 5: Solve for x
    x = 8,128,154.49/2,881.32
  6. Step 6: Final answer
    x = 2,820.98

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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.