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Finding the Fourth Proportional to 2,264.49, 3,397.05 and 803.25

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Solution

The fourth proportional to 2,264.49, 3,397.05 and 803.25 is: 1,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.49 : 3,397.05 = 803.25 : x
  2. Step 2: Convert to fraction form
    2,264.49/3,397.05 = 803.25/x
  3. Step 3: Cross multiply
    2,264.49x = 3,397.05 × 803.25
  4. Step 4: Simplify right side
    2,264.49x = 2,728,680.41
  5. Step 5: Solve for x
    x = 2,728,680.41/2,264.49
  6. Step 6: Final answer
    x = 1,204.99

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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.