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Finding the Fourth Proportional to 2,698.41, 4,046.22 and 1,238.52

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Solution

The fourth proportional to 2,698.41, 4,046.22 and 1,238.52 is: 1,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.41 : 4,046.22 = 1,238.52 : x
  2. Step 2: Convert to fraction form
    2,698.41/4,046.22 = 1,238.52/x
  3. Step 3: Cross multiply
    2,698.41x = 4,046.22 × 1,238.52
  4. Step 4: Simplify right side
    2,698.41x = 5,011,324.39
  5. Step 5: Solve for x
    x = 5,011,324.39/2,698.41
  6. Step 6: Final answer
    x = 1,857.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.