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Finding the Fourth Proportional to 1,447.25, 2,166.62 and 897.66

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Solution

The fourth proportional to 1,447.25, 2,166.62 and 897.66 is: 1,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.25 : 2,166.62 = 897.66 : x
  2. Step 2: Convert to fraction form
    1,447.25/2,166.62 = 897.66/x
  3. Step 3: Cross multiply
    1,447.25x = 2,166.62 × 897.66
  4. Step 4: Simplify right side
    1,447.25x = 1,944,883.62
  5. Step 5: Solve for x
    x = 1,944,883.62/1,447.25
  6. Step 6: Final answer
    x = 1,343.85

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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.