Home / 2,824.08-3,897.24-1,645.20

Finding the Fourth Proportional to 2,824.08, 3,897.24 and 1,645.20

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Solution

The fourth proportional to 2,824.08, 3,897.24 and 1,645.20 is: 2,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.08 : 3,897.24 = 1,645.20 : x
  2. Step 2: Convert to fraction form
    2,824.08/3,897.24 = 1,645.20/x
  3. Step 3: Cross multiply
    2,824.08x = 3,897.24 × 1,645.20
  4. Step 4: Simplify right side
    2,824.08x = 6,411,739.25
  5. Step 5: Solve for x
    x = 6,411,739.25/2,824.08
  6. Step 6: Final answer
    x = 2,270.38

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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.