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Finding the Fourth Proportional to 2,822.11, 3,894.95 and 1,703.21

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Solution

The fourth proportional to 2,822.11, 3,894.95 and 1,703.21 is: 2,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.11 : 3,894.95 = 1,703.21 : x
  2. Step 2: Convert to fraction form
    2,822.11/3,894.95 = 1,703.21/x
  3. Step 3: Cross multiply
    2,822.11x = 3,894.95 × 1,703.21
  4. Step 4: Simplify right side
    2,822.11x = 6,633,902.57
  5. Step 5: Solve for x
    x = 6,633,902.57/2,822.11
  6. Step 6: Final answer
    x = 2,350.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.