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Finding the Fourth Proportional to 2,095.34, 3,143.04 and 634.43

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Solution

The fourth proportional to 2,095.34, 3,143.04 and 634.43 is: 951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.34 : 3,143.04 = 634.43 : x
  2. Step 2: Convert to fraction form
    2,095.34/3,143.04 = 634.43/x
  3. Step 3: Cross multiply
    2,095.34x = 3,143.04 × 634.43
  4. Step 4: Simplify right side
    2,095.34x = 1,994,044.35
  5. Step 5: Solve for x
    x = 1,994,044.35/2,095.34
  6. Step 6: Final answer
    x = 951.66

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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.