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Finding the Fourth Proportional to 2,639.57, 3,958.89 and 1,606.22

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Solution

The fourth proportional to 2,639.57, 3,958.89 and 1,606.22 is: 2,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.57 : 3,958.89 = 1,606.22 : x
  2. Step 2: Convert to fraction form
    2,639.57/3,958.89 = 1,606.22/x
  3. Step 3: Cross multiply
    2,639.57x = 3,958.89 × 1,606.22
  4. Step 4: Simplify right side
    2,639.57x = 6,358,828.50
  5. Step 5: Solve for x
    x = 6,358,828.50/2,639.57
  6. Step 6: Final answer
    x = 2,409.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.