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Finding the Fourth Proportional to 3,258.30, 4,496.44 and 1,766.21

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Solution

The fourth proportional to 3,258.30, 4,496.44 and 1,766.21 is: 2,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.30 : 4,496.44 = 1,766.21 : x
  2. Step 2: Convert to fraction form
    3,258.30/4,496.44 = 1,766.21/x
  3. Step 3: Cross multiply
    3,258.30x = 4,496.44 × 1,766.21
  4. Step 4: Simplify right side
    3,258.30x = 7,941,664.12
  5. Step 5: Solve for x
    x = 7,941,664.12/3,258.30
  6. Step 6: Final answer
    x = 2,437.36

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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.