Home / 2,089.64-3,129.60-1,163.72

Finding the Fourth Proportional to 2,089.64, 3,129.60 and 1,163.72

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Solution

The fourth proportional to 2,089.64, 3,129.60 and 1,163.72 is: 1,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.64 : 3,129.60 = 1,163.72 : x
  2. Step 2: Convert to fraction form
    2,089.64/3,129.60 = 1,163.72/x
  3. Step 3: Cross multiply
    2,089.64x = 3,129.60 × 1,163.72
  4. Step 4: Simplify right side
    2,089.64x = 3,641,978.11
  5. Step 5: Solve for x
    x = 3,641,978.11/2,089.64
  6. Step 6: Final answer
    x = 1,742.87

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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.