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Finding the Fourth Proportional to 2,881.97, 3,977.18 and 1,623

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Solution

The fourth proportional to 2,881.97, 3,977.18 and 1,623 is: 2,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.97 : 3,977.18 = 1,623 : x
  2. Step 2: Convert to fraction form
    2,881.97/3,977.18 = 1,623/x
  3. Step 3: Cross multiply
    2,881.97x = 3,977.18 × 1,623
  4. Step 4: Simplify right side
    2,881.97x = 6,454,963.14
  5. Step 5: Solve for x
    x = 6,454,963.14/2,881.97
  6. Step 6: Final answer
    x = 2,239.77

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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.