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Finding the Fourth Proportional to 2,258.52, 3,375.75 and 1,963.64

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Solution

The fourth proportional to 2,258.52, 3,375.75 and 1,963.64 is: 2,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.52 : 3,375.75 = 1,963.64 : x
  2. Step 2: Convert to fraction form
    2,258.52/3,375.75 = 1,963.64/x
  3. Step 3: Cross multiply
    2,258.52x = 3,375.75 × 1,963.64
  4. Step 4: Simplify right side
    2,258.52x = 6,628,757.73
  5. Step 5: Solve for x
    x = 6,628,757.73/2,258.52
  6. Step 6: Final answer
    x = 2,935.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.