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Finding the Fourth Proportional to 1,447.65, 2,169.86 and 1,122.21

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Solution

The fourth proportional to 1,447.65, 2,169.86 and 1,122.21 is: 1,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.65 : 2,169.86 = 1,122.21 : x
  2. Step 2: Convert to fraction form
    1,447.65/2,169.86 = 1,122.21/x
  3. Step 3: Cross multiply
    1,447.65x = 2,169.86 × 1,122.21
  4. Step 4: Simplify right side
    1,447.65x = 2,435,032.98
  5. Step 5: Solve for x
    x = 2,435,032.98/1,447.65
  6. Step 6: Final answer
    x = 1,682.06

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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.