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Finding the Fourth Proportional to 2,095.65, 3,143.49 and 634.80

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Solution

The fourth proportional to 2,095.65, 3,143.49 and 634.80 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.65 : 3,143.49 = 634.80 : x
  2. Step 2: Convert to fraction form
    2,095.65/3,143.49 = 634.80/x
  3. Step 3: Cross multiply
    2,095.65x = 3,143.49 × 634.80
  4. Step 4: Simplify right side
    2,095.65x = 1,995,487.45
  5. Step 5: Solve for x
    x = 1,995,487.45/2,095.65
  6. Step 6: Final answer
    x = 952.20

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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.