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Finding the Fourth Proportional to 2,129.13, 3,196.71 and 1,206.50

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Solution

The fourth proportional to 2,129.13, 3,196.71 and 1,206.50 is: 1,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.13 : 3,196.71 = 1,206.50 : x
  2. Step 2: Convert to fraction form
    2,129.13/3,196.71 = 1,206.50/x
  3. Step 3: Cross multiply
    2,129.13x = 3,196.71 × 1,206.50
  4. Step 4: Simplify right side
    2,129.13x = 3,856,830.62
  5. Step 5: Solve for x
    x = 3,856,830.62/2,129.13
  6. Step 6: Final answer
    x = 1,811.46

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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.