Home / 2,552.74-3,828.80-704.04

Finding the Fourth Proportional to 2,552.74, 3,828.80 and 704.04

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Solution

The fourth proportional to 2,552.74, 3,828.80 and 704.04 is: 1,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.74 : 3,828.80 = 704.04 : x
  2. Step 2: Convert to fraction form
    2,552.74/3,828.80 = 704.04/x
  3. Step 3: Cross multiply
    2,552.74x = 3,828.80 × 704.04
  4. Step 4: Simplify right side
    2,552.74x = 2,695,628.35
  5. Step 5: Solve for x
    x = 2,695,628.35/2,552.74
  6. Step 6: Final answer
    x = 1,055.97

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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.