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Finding the Fourth Proportional to 2,040.50, 2,816.13 and 1,212.50

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Solution

The fourth proportional to 2,040.50, 2,816.13 and 1,212.50 is: 1,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.50 : 2,816.13 = 1,212.50 : x
  2. Step 2: Convert to fraction form
    2,040.50/2,816.13 = 1,212.50/x
  3. Step 3: Cross multiply
    2,040.50x = 2,816.13 × 1,212.50
  4. Step 4: Simplify right side
    2,040.50x = 3,414,557.63
  5. Step 5: Solve for x
    x = 3,414,557.63/2,040.50
  6. Step 6: Final answer
    x = 1,673.39

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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.