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Finding the Fourth Proportional to 2,796.68, 3,853.33 and 2,088.24

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Solution

The fourth proportional to 2,796.68, 3,853.33 and 2,088.24 is: 2,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.68 : 3,853.33 = 2,088.24 : x
  2. Step 2: Convert to fraction form
    2,796.68/3,853.33 = 2,088.24/x
  3. Step 3: Cross multiply
    2,796.68x = 3,853.33 × 2,088.24
  4. Step 4: Simplify right side
    2,796.68x = 8,046,672.62
  5. Step 5: Solve for x
    x = 8,046,672.62/2,796.68
  6. Step 6: Final answer
    x = 2,877.23

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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.