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Finding the Fourth Proportional to 2,264.31, 3,396.26 and 620.80

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Solution

The fourth proportional to 2,264.31, 3,396.26 and 620.80 is: 931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.31 : 3,396.26 = 620.80 : x
  2. Step 2: Convert to fraction form
    2,264.31/3,396.26 = 620.80/x
  3. Step 3: Cross multiply
    2,264.31x = 3,396.26 × 620.80
  4. Step 4: Simplify right side
    2,264.31x = 2,108,391.27
  5. Step 5: Solve for x
    x = 2,108,391.27/2,264.31
  6. Step 6: Final answer
    x = 931.14

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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.