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Finding the Fourth Proportional to 2,168.88, 2,992.41 and 1,284.36

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Solution

The fourth proportional to 2,168.88, 2,992.41 and 1,284.36 is: 1,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.88 : 2,992.41 = 1,284.36 : x
  2. Step 2: Convert to fraction form
    2,168.88/2,992.41 = 1,284.36/x
  3. Step 3: Cross multiply
    2,168.88x = 2,992.41 × 1,284.36
  4. Step 4: Simplify right side
    2,168.88x = 3,843,331.71
  5. Step 5: Solve for x
    x = 3,843,331.71/2,168.88
  6. Step 6: Final answer
    x = 1,772.04

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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.