Home / 1,575.97-2,175.10-1,202.24

Finding the Fourth Proportional to 1,575.97, 2,175.10 and 1,202.24

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Solution

The fourth proportional to 1,575.97, 2,175.10 and 1,202.24 is: 1,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.97 : 2,175.10 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    1,575.97/2,175.10 = 1,202.24/x
  3. Step 3: Cross multiply
    1,575.97x = 2,175.10 × 1,202.24
  4. Step 4: Simplify right side
    1,575.97x = 2,614,993.81
  5. Step 5: Solve for x
    x = 2,614,993.81/1,575.97
  6. Step 6: Final answer
    x = 1,659.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.