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Finding the Fourth Proportional to 2,095.47, 3,144.02 and 634.64

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Solution

The fourth proportional to 2,095.47, 3,144.02 and 634.64 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.47 : 3,144.02 = 634.64 : x
  2. Step 2: Convert to fraction form
    2,095.47/3,144.02 = 634.64/x
  3. Step 3: Cross multiply
    2,095.47x = 3,144.02 × 634.64
  4. Step 4: Simplify right side
    2,095.47x = 1,995,301.96
  5. Step 5: Solve for x
    x = 1,995,301.96/2,095.47
  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.