Home / 1,820.08-2,727.60-997.36

Finding the Fourth Proportional to 1,820.08, 2,727.60 and 997.36

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Solution

The fourth proportional to 1,820.08, 2,727.60 and 997.36 is: 1,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.08 : 2,727.60 = 997.36 : x
  2. Step 2: Convert to fraction form
    1,820.08/2,727.60 = 997.36/x
  3. Step 3: Cross multiply
    1,820.08x = 2,727.60 × 997.36
  4. Step 4: Simplify right side
    1,820.08x = 2,720,399.14
  5. Step 5: Solve for x
    x = 2,720,399.14/1,820.08
  6. Step 6: Final answer
    x = 1,494.66

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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.