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Finding the Fourth Proportional to 2,162.68, 3,244 and 602.70

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Solution

The fourth proportional to 2,162.68, 3,244 and 602.70 is: 904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.68 : 3,244 = 602.70 : x
  2. Step 2: Convert to fraction form
    2,162.68/3,244 = 602.70/x
  3. Step 3: Cross multiply
    2,162.68x = 3,244 × 602.70
  4. Step 4: Simplify right side
    2,162.68x = 1,955,158.80
  5. Step 5: Solve for x
    x = 1,955,158.80/2,162.68
  6. Step 6: Final answer
    x = 904.04

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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.