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Finding the Fourth Proportional to 2,327.01, 3,208.82 and 1,663.62

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Solution

The fourth proportional to 2,327.01, 3,208.82 and 1,663.62 is: 2,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.01 : 3,208.82 = 1,663.62 : x
  2. Step 2: Convert to fraction form
    2,327.01/3,208.82 = 1,663.62/x
  3. Step 3: Cross multiply
    2,327.01x = 3,208.82 × 1,663.62
  4. Step 4: Simplify right side
    2,327.01x = 5,338,248.81
  5. Step 5: Solve for x
    x = 5,338,248.81/2,327.01
  6. Step 6: Final answer
    x = 2,294.04

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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.