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Finding the Fourth Proportional to 3,258.74, 4,494.77 and 2,000.40

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Solution

The fourth proportional to 3,258.74, 4,494.77 and 2,000.40 is: 2,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.74 : 4,494.77 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    3,258.74/4,494.77 = 2,000.40/x
  3. Step 3: Cross multiply
    3,258.74x = 4,494.77 × 2,000.40
  4. Step 4: Simplify right side
    3,258.74x = 8,991,327.91
  5. Step 5: Solve for x
    x = 8,991,327.91/3,258.74
  6. Step 6: Final answer
    x = 2,759.15

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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.