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Finding the Fourth Proportional to 2,865.75, 3,954.80 and 1,606.74

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Solution

The fourth proportional to 2,865.75, 3,954.80 and 1,606.74 is: 2,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.75 : 3,954.80 = 1,606.74 : x
  2. Step 2: Convert to fraction form
    2,865.75/3,954.80 = 1,606.74/x
  3. Step 3: Cross multiply
    2,865.75x = 3,954.80 × 1,606.74
  4. Step 4: Simplify right side
    2,865.75x = 6,354,327.32
  5. Step 5: Solve for x
    x = 6,354,327.32/2,865.75
  6. Step 6: Final answer
    x = 2,217.33

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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.