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Finding the Fourth Proportional to 2,225.53, 3,338.79 and 665.65

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Solution

The fourth proportional to 2,225.53, 3,338.79 and 665.65 is: 998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.53 : 3,338.79 = 665.65 : x
  2. Step 2: Convert to fraction form
    2,225.53/3,338.79 = 665.65/x
  3. Step 3: Cross multiply
    2,225.53x = 3,338.79 × 665.65
  4. Step 4: Simplify right side
    2,225.53x = 2,222,465.56
  5. Step 5: Solve for x
    x = 2,222,465.56/2,225.53
  6. Step 6: Final answer
    x = 998.62

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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.