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Finding the Fourth Proportional to 2,264.50, 3,396.18 and 620.96

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Solution

The fourth proportional to 2,264.50, 3,396.18 and 620.96 is: 931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.50 : 3,396.18 = 620.96 : x
  2. Step 2: Convert to fraction form
    2,264.50/3,396.18 = 620.96/x
  3. Step 3: Cross multiply
    2,264.50x = 3,396.18 × 620.96
  4. Step 4: Simplify right side
    2,264.50x = 2,108,891.93
  5. Step 5: Solve for x
    x = 2,108,891.93/2,264.50
  6. Step 6: Final answer
    x = 931.29

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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.