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Finding the Fourth Proportional to 1,977.73, 2,967.45 and 808.57

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Solution

The fourth proportional to 1,977.73, 2,967.45 and 808.57 is: 1,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.73 : 2,967.45 = 808.57 : x
  2. Step 2: Convert to fraction form
    1,977.73/2,967.45 = 808.57/x
  3. Step 3: Cross multiply
    1,977.73x = 2,967.45 × 808.57
  4. Step 4: Simplify right side
    1,977.73x = 2,399,391.05
  5. Step 5: Solve for x
    x = 2,399,391.05/1,977.73
  6. Step 6: Final answer
    x = 1,213.20

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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.