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Finding the Fourth Proportional to 2,264.52, 3,397.21 and 804.70

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Solution

The fourth proportional to 2,264.52, 3,397.21 and 804.70 is: 1,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.52 : 3,397.21 = 804.70 : x
  2. Step 2: Convert to fraction form
    2,264.52/3,397.21 = 804.70/x
  3. Step 3: Cross multiply
    2,264.52x = 3,397.21 × 804.70
  4. Step 4: Simplify right side
    2,264.52x = 2,733,737.12
  5. Step 5: Solve for x
    x = 2,733,737.12/2,264.52
  6. Step 6: Final answer
    x = 1,207.20

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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.