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Finding the Fourth Proportional to 1,933.03, 2,899.94 and 822.45

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Solution

The fourth proportional to 1,933.03, 2,899.94 and 822.45 is: 1,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.03 : 2,899.94 = 822.45 : x
  2. Step 2: Convert to fraction form
    1,933.03/2,899.94 = 822.45/x
  3. Step 3: Cross multiply
    1,933.03x = 2,899.94 × 822.45
  4. Step 4: Simplify right side
    1,933.03x = 2,385,046.83
  5. Step 5: Solve for x
    x = 2,385,046.83/1,933.03
  6. Step 6: Final answer
    x = 1,233.84

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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.