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Finding the Fourth Proportional to 2,270.08, 3,402.24 and 2,215.68

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Solution

The fourth proportional to 2,270.08, 3,402.24 and 2,215.68 is: 3,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.08 : 3,402.24 = 2,215.68 : x
  2. Step 2: Convert to fraction form
    2,270.08/3,402.24 = 2,215.68/x
  3. Step 3: Cross multiply
    2,270.08x = 3,402.24 × 2,215.68
  4. Step 4: Simplify right side
    2,270.08x = 7,538,275.12
  5. Step 5: Solve for x
    x = 7,538,275.12/2,270.08
  6. Step 6: Final answer
    x = 3,320.71

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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.