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Finding the Fourth Proportional to 1,559.39, 2,152.10 and 1,165.73

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Solution

The fourth proportional to 1,559.39, 2,152.10 and 1,165.73 is: 1,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.39 : 2,152.10 = 1,165.73 : x
  2. Step 2: Convert to fraction form
    1,559.39/2,152.10 = 1,165.73/x
  3. Step 3: Cross multiply
    1,559.39x = 2,152.10 × 1,165.73
  4. Step 4: Simplify right side
    1,559.39x = 2,508,759.69
  5. Step 5: Solve for x
    x = 2,508,759.69/1,559.39
  6. Step 6: Final answer
    x = 1,608.81

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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.