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Finding the Fourth Proportional to 2,920.83, 4,027.12 and 2,542.16

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Solution

The fourth proportional to 2,920.83, 4,027.12 and 2,542.16 is: 3,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.83 : 4,027.12 = 2,542.16 : x
  2. Step 2: Convert to fraction form
    2,920.83/4,027.12 = 2,542.16/x
  3. Step 3: Cross multiply
    2,920.83x = 4,027.12 × 2,542.16
  4. Step 4: Simplify right side
    2,920.83x = 10,237,583.38
  5. Step 5: Solve for x
    x = 10,237,583.38/2,920.83
  6. Step 6: Final answer
    x = 3,505.03

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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.