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Finding the Fourth Proportional to 2,865.70, 3,954.75 and 1,606.72

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Solution

The fourth proportional to 2,865.70, 3,954.75 and 1,606.72 is: 2,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.70 : 3,954.75 = 1,606.72 : x
  2. Step 2: Convert to fraction form
    2,865.70/3,954.75 = 1,606.72/x
  3. Step 3: Cross multiply
    2,865.70x = 3,954.75 × 1,606.72
  4. Step 4: Simplify right side
    2,865.70x = 6,354,175.92
  5. Step 5: Solve for x
    x = 6,354,175.92/2,865.70
  6. Step 6: Final answer
    x = 2,217.32

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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.