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Finding the Fourth Proportional to 2,198.74, 3,033.93 and 1,254.58

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Solution

The fourth proportional to 2,198.74, 3,033.93 and 1,254.58 is: 1,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.74 : 3,033.93 = 1,254.58 : x
  2. Step 2: Convert to fraction form
    2,198.74/3,033.93 = 1,254.58/x
  3. Step 3: Cross multiply
    2,198.74x = 3,033.93 × 1,254.58
  4. Step 4: Simplify right side
    2,198.74x = 3,806,307.90
  5. Step 5: Solve for x
    x = 3,806,307.90/2,198.74
  6. Step 6: Final answer
    x = 1,731.13

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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.