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Finding the Fourth Proportional to 2,161.32, 3,242.04 and 601.33

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Solution

The fourth proportional to 2,161.32, 3,242.04 and 601.33 is: 902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.32 : 3,242.04 = 601.33 : x
  2. Step 2: Convert to fraction form
    2,161.32/3,242.04 = 601.33/x
  3. Step 3: Cross multiply
    2,161.32x = 3,242.04 × 601.33
  4. Step 4: Simplify right side
    2,161.32x = 1,949,535.91
  5. Step 5: Solve for x
    x = 1,949,535.91/2,161.32
  6. Step 6: Final answer
    x = 902.01

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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.