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Finding the Fourth Proportional to 2,967.68, 4,426.44 and 2,796.36

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Solution

The fourth proportional to 2,967.68, 4,426.44 and 2,796.36 is: 4,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.68 : 4,426.44 = 2,796.36 : x
  2. Step 2: Convert to fraction form
    2,967.68/4,426.44 = 2,796.36/x
  3. Step 3: Cross multiply
    2,967.68x = 4,426.44 × 2,796.36
  4. Step 4: Simplify right side
    2,967.68x = 12,377,919.76
  5. Step 5: Solve for x
    x = 12,377,919.76/2,967.68
  6. Step 6: Final answer
    x = 4,170.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.