Home / 2,088.78-3,133.27-1,163.64

Finding the Fourth Proportional to 2,088.78, 3,133.27 and 1,163.64

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Solution

The fourth proportional to 2,088.78, 3,133.27 and 1,163.64 is: 1,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.78 : 3,133.27 = 1,163.64 : x
  2. Step 2: Convert to fraction form
    2,088.78/3,133.27 = 1,163.64/x
  3. Step 3: Cross multiply
    2,088.78x = 3,133.27 × 1,163.64
  4. Step 4: Simplify right side
    2,088.78x = 3,645,995.39
  5. Step 5: Solve for x
    x = 3,645,995.39/2,088.78
  6. Step 6: Final answer
    x = 1,745.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.