Home / 2,027.72-3,041.48-1,105.14

Finding the Fourth Proportional to 2,027.72, 3,041.48 and 1,105.14

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Solution

The fourth proportional to 2,027.72, 3,041.48 and 1,105.14 is: 1,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.72 : 3,041.48 = 1,105.14 : x
  2. Step 2: Convert to fraction form
    2,027.72/3,041.48 = 1,105.14/x
  3. Step 3: Cross multiply
    2,027.72x = 3,041.48 × 1,105.14
  4. Step 4: Simplify right side
    2,027.72x = 3,361,261.21
  5. Step 5: Solve for x
    x = 3,361,261.21/2,027.72
  6. Step 6: Final answer
    x = 1,657.66

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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.