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Finding the Fourth Proportional to 1,445.60, 1,993.67 and 1,165.75

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Solution

The fourth proportional to 1,445.60, 1,993.67 and 1,165.75 is: 1,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.60 : 1,993.67 = 1,165.75 : x
  2. Step 2: Convert to fraction form
    1,445.60/1,993.67 = 1,165.75/x
  3. Step 3: Cross multiply
    1,445.60x = 1,993.67 × 1,165.75
  4. Step 4: Simplify right side
    1,445.60x = 2,324,120.80
  5. Step 5: Solve for x
    x = 2,324,120.80/1,445.60
  6. Step 6: Final answer
    x = 1,607.72

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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.