Home / 2,027.96-3,041.93-1,161.66

Finding the Fourth Proportional to 2,027.96, 3,041.93 and 1,161.66

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Solution

The fourth proportional to 2,027.96, 3,041.93 and 1,161.66 is: 1,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.96 : 3,041.93 = 1,161.66 : x
  2. Step 2: Convert to fraction form
    2,027.96/3,041.93 = 1,161.66/x
  3. Step 3: Cross multiply
    2,027.96x = 3,041.93 × 1,161.66
  4. Step 4: Simplify right side
    2,027.96x = 3,533,691.31
  5. Step 5: Solve for x
    x = 3,533,691.31/2,027.96
  6. Step 6: Final answer
    x = 1,742.49

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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.