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Finding the Fourth Proportional to 2,196.90, 3,292.56 and 2,139.48

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Solution

The fourth proportional to 2,196.90, 3,292.56 and 2,139.48 is: 3,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.90 : 3,292.56 = 2,139.48 : x
  2. Step 2: Convert to fraction form
    2,196.90/3,292.56 = 2,139.48/x
  3. Step 3: Cross multiply
    2,196.90x = 3,292.56 × 2,139.48
  4. Step 4: Simplify right side
    2,196.90x = 7,044,366.27
  5. Step 5: Solve for x
    x = 7,044,366.27/2,196.90
  6. Step 6: Final answer
    x = 3,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.