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Finding the Fourth Proportional to 1,597.39, 2,396.32 and 817.83

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Solution

The fourth proportional to 1,597.39, 2,396.32 and 817.83 is: 1,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.39 : 2,396.32 = 817.83 : x
  2. Step 2: Convert to fraction form
    1,597.39/2,396.32 = 817.83/x
  3. Step 3: Cross multiply
    1,597.39x = 2,396.32 × 817.83
  4. Step 4: Simplify right side
    1,597.39x = 1,959,780.34
  5. Step 5: Solve for x
    x = 1,959,780.34/1,597.39
  6. Step 6: Final answer
    x = 1,226.87

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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.