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Finding the Fourth Proportional to 3,258.42, 4,496.61 and 1,766.34

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Solution

The fourth proportional to 3,258.42, 4,496.61 and 1,766.34 is: 2,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.42 : 4,496.61 = 1,766.34 : x
  2. Step 2: Convert to fraction form
    3,258.42/4,496.61 = 1,766.34/x
  3. Step 3: Cross multiply
    3,258.42x = 4,496.61 × 1,766.34
  4. Step 4: Simplify right side
    3,258.42x = 7,942,542.11
  5. Step 5: Solve for x
    x = 7,942,542.11/3,258.42
  6. Step 6: Final answer
    x = 2,437.54

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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.