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Finding the Fourth Proportional to 3,042.66, 4,198.83 and 1,698.24

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Solution

The fourth proportional to 3,042.66, 4,198.83 and 1,698.24 is: 2,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.66 : 4,198.83 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    3,042.66/4,198.83 = 1,698.24/x
  3. Step 3: Cross multiply
    3,042.66x = 4,198.83 × 1,698.24
  4. Step 4: Simplify right side
    3,042.66x = 7,130,621.06
  5. Step 5: Solve for x
    x = 7,130,621.06/3,042.66
  6. Step 6: Final answer
    x = 2,343.55

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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.