Home / 2,282.04-3,422.34-638.46

Finding the Fourth Proportional to 2,282.04, 3,422.34 and 638.46

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Solution

The fourth proportional to 2,282.04, 3,422.34 and 638.46 is: 957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.04 : 3,422.34 = 638.46 : x
  2. Step 2: Convert to fraction form
    2,282.04/3,422.34 = 638.46/x
  3. Step 3: Cross multiply
    2,282.04x = 3,422.34 × 638.46
  4. Step 4: Simplify right side
    2,282.04x = 2,185,027.20
  5. Step 5: Solve for x
    x = 2,185,027.20/2,282.04
  6. Step 6: Final answer
    x = 957.49

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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.