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Finding the Fourth Proportional to 3,258.54, 4,496.73 and 1,766.45

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Solution

The fourth proportional to 3,258.54, 4,496.73 and 1,766.45 is: 2,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.54 : 4,496.73 = 1,766.45 : x
  2. Step 2: Convert to fraction form
    3,258.54/4,496.73 = 1,766.45/x
  3. Step 3: Cross multiply
    3,258.54x = 4,496.73 × 1,766.45
  4. Step 4: Simplify right side
    3,258.54x = 7,943,226.22
  5. Step 5: Solve for x
    x = 7,943,226.22/3,258.54
  6. Step 6: Final answer
    x = 2,437.66

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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.