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Finding the Fourth Proportional to 2,212.86, 3,053.77 and 1,218.12

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Solution

The fourth proportional to 2,212.86, 3,053.77 and 1,218.12 is: 1,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.86 : 3,053.77 = 1,218.12 : x
  2. Step 2: Convert to fraction form
    2,212.86/3,053.77 = 1,218.12/x
  3. Step 3: Cross multiply
    2,212.86x = 3,053.77 × 1,218.12
  4. Step 4: Simplify right side
    2,212.86x = 3,719,858.31
  5. Step 5: Solve for x
    x = 3,719,858.31/2,212.86
  6. Step 6: Final answer
    x = 1,681.02

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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.