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Finding the Fourth Proportional to 2,881.51, 3,978.48 and 2,208.15

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Solution

The fourth proportional to 2,881.51, 3,978.48 and 2,208.15 is: 3,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.51 : 3,978.48 = 2,208.15 : x
  2. Step 2: Convert to fraction form
    2,881.51/3,978.48 = 2,208.15/x
  3. Step 3: Cross multiply
    2,881.51x = 3,978.48 × 2,208.15
  4. Step 4: Simplify right side
    2,881.51x = 8,785,080.61
  5. Step 5: Solve for x
    x = 8,785,080.61/2,881.51
  6. Step 6: Final answer
    x = 3,048.78

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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.