Home / 2,203.04-3,304.49-816.34

Finding the Fourth Proportional to 2,203.04, 3,304.49 and 816.34

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Solution

The fourth proportional to 2,203.04, 3,304.49 and 816.34 is: 1,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.04 : 3,304.49 = 816.34 : x
  2. Step 2: Convert to fraction form
    2,203.04/3,304.49 = 816.34/x
  3. Step 3: Cross multiply
    2,203.04x = 3,304.49 × 816.34
  4. Step 4: Simplify right side
    2,203.04x = 2,697,575.02
  5. Step 5: Solve for x
    x = 2,697,575.02/2,203.04
  6. Step 6: Final answer
    x = 1,224.48

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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.