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Finding the Fourth Proportional to 2,254.23, 3,381.30 and 2,254.23

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Solution

The fourth proportional to 2,254.23, 3,381.30 and 2,254.23 is: 3,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.23 : 3,381.30 = 2,254.23 : x
  2. Step 2: Convert to fraction form
    2,254.23/3,381.30 = 2,254.23/x
  3. Step 3: Cross multiply
    2,254.23x = 3,381.30 × 2,254.23
  4. Step 4: Simplify right side
    2,254.23x = 7,622,227.90
  5. Step 5: Solve for x
    x = 7,622,227.90/2,254.23
  6. Step 6: Final answer
    x = 3,381.30

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1.5x scale

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.