Home / 2,949.50-4,074.78-2,202.16

Finding the Fourth Proportional to 2,949.50, 4,074.78 and 2,202.16

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Solution

The fourth proportional to 2,949.50, 4,074.78 and 2,202.16 is: 3,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.50 : 4,074.78 = 2,202.16 : x
  2. Step 2: Convert to fraction form
    2,949.50/4,074.78 = 2,202.16/x
  3. Step 3: Cross multiply
    2,949.50x = 4,074.78 × 2,202.16
  4. Step 4: Simplify right side
    2,949.50x = 8,973,317.52
  5. Step 5: Solve for x
    x = 8,973,317.52/2,949.50
  6. Step 6: Final answer
    x = 3,042.32

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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.