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Finding the Fourth Proportional to 2,208.42, 3,312.71 and 822.10

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Solution

The fourth proportional to 2,208.42, 3,312.71 and 822.10 is: 1,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.42 : 3,312.71 = 822.10 : x
  2. Step 2: Convert to fraction form
    2,208.42/3,312.71 = 822.10/x
  3. Step 3: Cross multiply
    2,208.42x = 3,312.71 × 822.10
  4. Step 4: Simplify right side
    2,208.42x = 2,723,374.78
  5. Step 5: Solve for x
    x = 2,723,374.78/2,208.42
  6. Step 6: Final answer
    x = 1,233.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.