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Finding the Fourth Proportional to 2,197.56, 3,032.52 and 1,266

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Solution

The fourth proportional to 2,197.56, 3,032.52 and 1,266 is: 1,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.56 : 3,032.52 = 1,266 : x
  2. Step 2: Convert to fraction form
    2,197.56/3,032.52 = 1,266/x
  3. Step 3: Cross multiply
    2,197.56x = 3,032.52 × 1,266
  4. Step 4: Simplify right side
    2,197.56x = 3,839,170.32
  5. Step 5: Solve for x
    x = 3,839,170.32/2,197.56
  6. Step 6: Final answer
    x = 1,747.02

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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.