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Finding the Fourth Proportional to 2,926, 4,039.59 and 2,228.68

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Solution

The fourth proportional to 2,926, 4,039.59 and 2,228.68 is: 3,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926 : 4,039.59 = 2,228.68 : x
  2. Step 2: Convert to fraction form
    2,926/4,039.59 = 2,228.68/x
  3. Step 3: Cross multiply
    2,926x = 4,039.59 × 2,228.68
  4. Step 4: Simplify right side
    2,926x = 9,002,953.44
  5. Step 5: Solve for x
    x = 9,002,953.44/2,926
  6. Step 6: Final answer
    x = 3,076.88

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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.