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Finding the Fourth Proportional to 2,264.62, 3,397.83 and 803.92

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Solution

The fourth proportional to 2,264.62, 3,397.83 and 803.92 is: 1,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.62 : 3,397.83 = 803.92 : x
  2. Step 2: Convert to fraction form
    2,264.62/3,397.83 = 803.92/x
  3. Step 3: Cross multiply
    2,264.62x = 3,397.83 × 803.92
  4. Step 4: Simplify right side
    2,264.62x = 2,731,583.49
  5. Step 5: Solve for x
    x = 2,731,583.49/2,264.62
  6. Step 6: Final answer
    x = 1,206.20

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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.