Home / 2,002.52-2,764.08-1,163.45

Finding the Fourth Proportional to 2,002.52, 2,764.08 and 1,163.45

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Solution

The fourth proportional to 2,002.52, 2,764.08 and 1,163.45 is: 1,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.52 : 2,764.08 = 1,163.45 : x
  2. Step 2: Convert to fraction form
    2,002.52/2,764.08 = 1,163.45/x
  3. Step 3: Cross multiply
    2,002.52x = 2,764.08 × 1,163.45
  4. Step 4: Simplify right side
    2,002.52x = 3,215,868.88
  5. Step 5: Solve for x
    x = 3,215,868.88/2,002.52
  6. Step 6: Final answer
    x = 1,605.91

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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.