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Finding the Fourth Proportional to 2,288.37, 3,403.12 and 2,215.47

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Solution

The fourth proportional to 2,288.37, 3,403.12 and 2,215.47 is: 3,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.37 : 3,403.12 = 2,215.47 : x
  2. Step 2: Convert to fraction form
    2,288.37/3,403.12 = 2,215.47/x
  3. Step 3: Cross multiply
    2,288.37x = 3,403.12 × 2,215.47
  4. Step 4: Simplify right side
    2,288.37x = 7,539,504.73
  5. Step 5: Solve for x
    x = 7,539,504.73/2,288.37
  6. Step 6: Final answer
    x = 3,294.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.