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Finding the Fourth Proportional to 2,225.11, 3,338.23 and 665.10

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Solution

The fourth proportional to 2,225.11, 3,338.23 and 665.10 is: 997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.11 : 3,338.23 = 665.10 : x
  2. Step 2: Convert to fraction form
    2,225.11/3,338.23 = 665.10/x
  3. Step 3: Cross multiply
    2,225.11x = 3,338.23 × 665.10
  4. Step 4: Simplify right side
    2,225.11x = 2,220,256.77
  5. Step 5: Solve for x
    x = 2,220,256.77/2,225.11
  6. Step 6: Final answer
    x = 997.82

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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.