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Finding the Fourth Proportional to 4,132.52, 6,198.80 and 1,211

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Solution

The fourth proportional to 4,132.52, 6,198.80 and 1,211 is: 1,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.52 : 6,198.80 = 1,211 : x
  2. Step 2: Convert to fraction form
    4,132.52/6,198.80 = 1,211/x
  3. Step 3: Cross multiply
    4,132.52x = 6,198.80 × 1,211
  4. Step 4: Simplify right side
    4,132.52x = 7,506,746.80
  5. Step 5: Solve for x
    x = 7,506,746.80/4,132.52
  6. Step 6: Final answer
    x = 1,816.51

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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.