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Finding the Fourth Proportional to 2,168.76, 2,993.07 and 1,284.78

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Solution

The fourth proportional to 2,168.76, 2,993.07 and 1,284.78 is: 1,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.76 : 2,993.07 = 1,284.78 : x
  2. Step 2: Convert to fraction form
    2,168.76/2,993.07 = 1,284.78/x
  3. Step 3: Cross multiply
    2,168.76x = 2,993.07 × 1,284.78
  4. Step 4: Simplify right side
    2,168.76x = 3,845,436.47
  5. Step 5: Solve for x
    x = 3,845,436.47/2,168.76
  6. Step 6: Final answer
    x = 1,773.10

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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.