Home / 2,743.98-3,786.26-1,564.62

Finding the Fourth Proportional to 2,743.98, 3,786.26 and 1,564.62

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Solution

The fourth proportional to 2,743.98, 3,786.26 and 1,564.62 is: 2,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.98 : 3,786.26 = 1,564.62 : x
  2. Step 2: Convert to fraction form
    2,743.98/3,786.26 = 1,564.62/x
  3. Step 3: Cross multiply
    2,743.98x = 3,786.26 × 1,564.62
  4. Step 4: Simplify right side
    2,743.98x = 5,924,058.12
  5. Step 5: Solve for x
    x = 5,924,058.12/2,743.98
  6. Step 6: Final answer
    x = 2,158.93

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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.