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Finding the Fourth Proportional to 2,156.59, 2,976.34 and 1,212.38

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Solution

The fourth proportional to 2,156.59, 2,976.34 and 1,212.38 is: 1,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.59 : 2,976.34 = 1,212.38 : x
  2. Step 2: Convert to fraction form
    2,156.59/2,976.34 = 1,212.38/x
  3. Step 3: Cross multiply
    2,156.59x = 2,976.34 × 1,212.38
  4. Step 4: Simplify right side
    2,156.59x = 3,608,455.09
  5. Step 5: Solve for x
    x = 3,608,455.09/2,156.59
  6. Step 6: Final answer
    x = 1,673.22

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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.