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Finding the Fourth Proportional to 2,799.97, 3,863.77 and 1,681.49

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Solution

The fourth proportional to 2,799.97, 3,863.77 and 1,681.49 is: 2,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.97 : 3,863.77 = 1,681.49 : x
  2. Step 2: Convert to fraction form
    2,799.97/3,863.77 = 1,681.49/x
  3. Step 3: Cross multiply
    2,799.97x = 3,863.77 × 1,681.49
  4. Step 4: Simplify right side
    2,799.97x = 6,496,896.07
  5. Step 5: Solve for x
    x = 6,496,896.07/2,799.97
  6. Step 6: Final answer
    x = 2,320.35

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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.