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Finding the Fourth Proportional to 1,499.57, 2,066.37 and 1,161.44

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Solution

The fourth proportional to 1,499.57, 2,066.37 and 1,161.44 is: 1,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.57 : 2,066.37 = 1,161.44 : x
  2. Step 2: Convert to fraction form
    1,499.57/2,066.37 = 1,161.44/x
  3. Step 3: Cross multiply
    1,499.57x = 2,066.37 × 1,161.44
  4. Step 4: Simplify right side
    1,499.57x = 2,399,954.44
  5. Step 5: Solve for x
    x = 2,399,954.44/1,499.57
  6. Step 6: Final answer
    x = 1,600.43

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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.