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Finding the Fourth Proportional to 2,264.43, 3,396.98 and 803.46

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Solution

The fourth proportional to 2,264.43, 3,396.98 and 803.46 is: 1,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.43 : 3,396.98 = 803.46 : x
  2. Step 2: Convert to fraction form
    2,264.43/3,396.98 = 803.46/x
  3. Step 3: Cross multiply
    2,264.43x = 3,396.98 × 803.46
  4. Step 4: Simplify right side
    2,264.43x = 2,729,337.55
  5. Step 5: Solve for x
    x = 2,729,337.55/2,264.43
  6. Step 6: Final answer
    x = 1,205.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.