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Finding the Fourth Proportional to 2,812.80, 3,883.29 and 2,501.38

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Solution

The fourth proportional to 2,812.80, 3,883.29 and 2,501.38 is: 3,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.80 : 3,883.29 = 2,501.38 : x
  2. Step 2: Convert to fraction form
    2,812.80/3,883.29 = 2,501.38/x
  3. Step 3: Cross multiply
    2,812.80x = 3,883.29 × 2,501.38
  4. Step 4: Simplify right side
    2,812.80x = 9,713,593.48
  5. Step 5: Solve for x
    x = 9,713,593.48/2,812.80
  6. Step 6: Final answer
    x = 3,453.35

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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.