Home / 2,182.04-3,271-1,012.16

Finding the Fourth Proportional to 2,182.04, 3,271 and 1,012.16

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Solution

The fourth proportional to 2,182.04, 3,271 and 1,012.16 is: 1,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.04 : 3,271 = 1,012.16 : x
  2. Step 2: Convert to fraction form
    2,182.04/3,271 = 1,012.16/x
  3. Step 3: Cross multiply
    2,182.04x = 3,271 × 1,012.16
  4. Step 4: Simplify right side
    2,182.04x = 3,310,775.36
  5. Step 5: Solve for x
    x = 3,310,775.36/2,182.04
  6. Step 6: Final answer
    x = 1,517.28

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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.