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Finding the Fourth Proportional to 2,194.17, 3,292.68 and 807.51

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Solution

The fourth proportional to 2,194.17, 3,292.68 and 807.51 is: 1,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.17 : 3,292.68 = 807.51 : x
  2. Step 2: Convert to fraction form
    2,194.17/3,292.68 = 807.51/x
  3. Step 3: Cross multiply
    2,194.17x = 3,292.68 × 807.51
  4. Step 4: Simplify right side
    2,194.17x = 2,658,872.03
  5. Step 5: Solve for x
    x = 2,658,872.03/2,194.17
  6. Step 6: Final answer
    x = 1,211.79

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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.