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Finding the Fourth Proportional to 2,227.28, 3,341.60 and 688.28

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Solution

The fourth proportional to 2,227.28, 3,341.60 and 688.28 is: 1,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.28 : 3,341.60 = 688.28 : x
  2. Step 2: Convert to fraction form
    2,227.28/3,341.60 = 688.28/x
  3. Step 3: Cross multiply
    2,227.28x = 3,341.60 × 688.28
  4. Step 4: Simplify right side
    2,227.28x = 2,299,956.45
  5. Step 5: Solve for x
    x = 2,299,956.45/2,227.28
  6. Step 6: Final answer
    x = 1,032.63

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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.