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Finding the Fourth Proportional to 2,095.68, 3,142.94 and 634.88

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Solution

The fourth proportional to 2,095.68, 3,142.94 and 634.88 is: 952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.68 : 3,142.94 = 634.88 : x
  2. Step 2: Convert to fraction form
    2,095.68/3,142.94 = 634.88/x
  3. Step 3: Cross multiply
    2,095.68x = 3,142.94 × 634.88
  4. Step 4: Simplify right side
    2,095.68x = 1,995,389.75
  5. Step 5: Solve for x
    x = 1,995,389.75/2,095.68
  6. Step 6: Final answer
    x = 952.14

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1.5x scale

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.