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Finding the Fourth Proportional to 1,932.77, 2,900.31 and 822.14

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Solution

The fourth proportional to 1,932.77, 2,900.31 and 822.14 is: 1,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.77 : 2,900.31 = 822.14 : x
  2. Step 2: Convert to fraction form
    1,932.77/2,900.31 = 822.14/x
  3. Step 3: Cross multiply
    1,932.77x = 2,900.31 × 822.14
  4. Step 4: Simplify right side
    1,932.77x = 2,384,460.86
  5. Step 5: Solve for x
    x = 2,384,460.86/1,932.77
  6. Step 6: Final answer
    x = 1,233.70

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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.