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Finding the Fourth Proportional to 2,698.12, 4,042.78 and 2,266.12

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Solution

The fourth proportional to 2,698.12, 4,042.78 and 2,266.12 is: 3,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.12 : 4,042.78 = 2,266.12 : x
  2. Step 2: Convert to fraction form
    2,698.12/4,042.78 = 2,266.12/x
  3. Step 3: Cross multiply
    2,698.12x = 4,042.78 × 2,266.12
  4. Step 4: Simplify right side
    2,698.12x = 9,161,424.61
  5. Step 5: Solve for x
    x = 9,161,424.61/2,698.12
  6. Step 6: Final answer
    x = 3,395.48

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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.