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Finding the Fourth Proportional to 2,225.69, 3,339.01 and 665.82

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Solution

The fourth proportional to 2,225.69, 3,339.01 and 665.82 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.69 : 3,339.01 = 665.82 : x
  2. Step 2: Convert to fraction form
    2,225.69/3,339.01 = 665.82/x
  3. Step 3: Cross multiply
    2,225.69x = 3,339.01 × 665.82
  4. Step 4: Simplify right side
    2,225.69x = 2,223,179.64
  5. Step 5: Solve for x
    x = 2,223,179.64/2,225.69
  6. Step 6: Final answer
    x = 998.87

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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.