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Finding the Fourth Proportional to 2,228.41, 3,074.41 and 1,343.89

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Solution

The fourth proportional to 2,228.41, 3,074.41 and 1,343.89 is: 1,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.41 : 3,074.41 = 1,343.89 : x
  2. Step 2: Convert to fraction form
    2,228.41/3,074.41 = 1,343.89/x
  3. Step 3: Cross multiply
    2,228.41x = 3,074.41 × 1,343.89
  4. Step 4: Simplify right side
    2,228.41x = 4,131,666.82
  5. Step 5: Solve for x
    x = 4,131,666.82/2,228.41
  6. Step 6: Final answer
    x = 1,854.09

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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.