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Finding the Fourth Proportional to 2,258.38, 3,404.43 and 2,107.82

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Solution

The fourth proportional to 2,258.38, 3,404.43 and 2,107.82 is: 3,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.38 : 3,404.43 = 2,107.82 : x
  2. Step 2: Convert to fraction form
    2,258.38/3,404.43 = 2,107.82/x
  3. Step 3: Cross multiply
    2,258.38x = 3,404.43 × 2,107.82
  4. Step 4: Simplify right side
    2,258.38x = 7,175,934.15
  5. Step 5: Solve for x
    x = 7,175,934.15/2,258.38
  6. Step 6: Final answer
    x = 3,177.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.