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Finding the Fourth Proportional to 2,156.74, 2,975.97 and 1,212.52

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Solution

The fourth proportional to 2,156.74, 2,975.97 and 1,212.52 is: 1,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.74 : 2,975.97 = 1,212.52 : x
  2. Step 2: Convert to fraction form
    2,156.74/2,975.97 = 1,212.52/x
  3. Step 3: Cross multiply
    2,156.74x = 2,975.97 × 1,212.52
  4. Step 4: Simplify right side
    2,156.74x = 3,608,423.14
  5. Step 5: Solve for x
    x = 3,608,423.14/2,156.74
  6. Step 6: Final answer
    x = 1,673.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.