Home / 2,122.32-3,185.10-1,027.32

Finding the Fourth Proportional to 2,122.32, 3,185.10 and 1,027.32

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Solution

The fourth proportional to 2,122.32, 3,185.10 and 1,027.32 is: 1,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.32 : 3,185.10 = 1,027.32 : x
  2. Step 2: Convert to fraction form
    2,122.32/3,185.10 = 1,027.32/x
  3. Step 3: Cross multiply
    2,122.32x = 3,185.10 × 1,027.32
  4. Step 4: Simplify right side
    2,122.32x = 3,272,116.93
  5. Step 5: Solve for x
    x = 3,272,116.93/2,122.32
  6. Step 6: Final answer
    x = 1,541.76

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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.