Home / 2,552.80-3,829.20-704.11

Finding the Fourth Proportional to 2,552.80, 3,829.20 and 704.11

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Solution

The fourth proportional to 2,552.80, 3,829.20 and 704.11 is: 1,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.80 : 3,829.20 = 704.11 : x
  2. Step 2: Convert to fraction form
    2,552.80/3,829.20 = 704.11/x
  3. Step 3: Cross multiply
    2,552.80x = 3,829.20 × 704.11
  4. Step 4: Simplify right side
    2,552.80x = 2,696,178.01
  5. Step 5: Solve for x
    x = 2,696,178.01/2,552.80
  6. Step 6: Final answer
    x = 1,056.17

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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.