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Finding the Fourth Proportional to 1,446.60, 1,995.05 and 1,166.75

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Solution

The fourth proportional to 1,446.60, 1,995.05 and 1,166.75 is: 1,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.60 : 1,995.05 = 1,166.75 : x
  2. Step 2: Convert to fraction form
    1,446.60/1,995.05 = 1,166.75/x
  3. Step 3: Cross multiply
    1,446.60x = 1,995.05 × 1,166.75
  4. Step 4: Simplify right side
    1,446.60x = 2,327,717.53
  5. Step 5: Solve for x
    x = 2,327,717.53/1,446.60
  6. Step 6: Final answer
    x = 1,609.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.