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Finding the Fourth Proportional to 2,197.78, 3,032.85 and 1,266.58

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Solution

The fourth proportional to 2,197.78, 3,032.85 and 1,266.58 is: 1,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.78 : 3,032.85 = 1,266.58 : x
  2. Step 2: Convert to fraction form
    2,197.78/3,032.85 = 1,266.58/x
  3. Step 3: Cross multiply
    2,197.78x = 3,032.85 × 1,266.58
  4. Step 4: Simplify right side
    2,197.78x = 3,841,347.15
  5. Step 5: Solve for x
    x = 3,841,347.15/2,197.78
  6. Step 6: Final answer
    x = 1,747.83

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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.