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Finding the Fourth Proportional to 2,215, 3,323.67 and 2,102.38

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Solution

The fourth proportional to 2,215, 3,323.67 and 2,102.38 is: 3,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,323.67 = 2,102.38 : x
  2. Step 2: Convert to fraction form
    2,215/3,323.67 = 2,102.38/x
  3. Step 3: Cross multiply
    2,215x = 3,323.67 × 2,102.38
  4. Step 4: Simplify right side
    2,215x = 6,987,617.33
  5. Step 5: Solve for x
    x = 6,987,617.33/2,215
  6. Step 6: Final answer
    x = 3,154.68

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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.