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Finding the Fourth Proportional to 1,997.77, 2,757.51 and 1,158.86

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Solution

The fourth proportional to 1,997.77, 2,757.51 and 1,158.86 is: 1,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.77 : 2,757.51 = 1,158.86 : x
  2. Step 2: Convert to fraction form
    1,997.77/2,757.51 = 1,158.86/x
  3. Step 3: Cross multiply
    1,997.77x = 2,757.51 × 1,158.86
  4. Step 4: Simplify right side
    1,997.77x = 3,195,574.93
  5. Step 5: Solve for x
    x = 3,195,574.93/1,997.77
  6. Step 6: Final answer
    x = 1,599.57

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Why These Related Problems?

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