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Finding the Fourth Proportional to 2,398.33, 3,591.69 and 1,984.42

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Solution

The fourth proportional to 2,398.33, 3,591.69 and 1,984.42 is: 2,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.33 : 3,591.69 = 1,984.42 : x
  2. Step 2: Convert to fraction form
    2,398.33/3,591.69 = 1,984.42/x
  3. Step 3: Cross multiply
    2,398.33x = 3,591.69 × 1,984.42
  4. Step 4: Simplify right side
    2,398.33x = 7,127,421.47
  5. Step 5: Solve for x
    x = 7,127,421.47/2,398.33
  6. Step 6: Final answer
    x = 2,971.83

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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.