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Finding the Fourth Proportional to 2,106.43, 3,159.05 and 625.97

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Solution

The fourth proportional to 2,106.43, 3,159.05 and 625.97 is: 938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.43 : 3,159.05 = 625.97 : x
  2. Step 2: Convert to fraction form
    2,106.43/3,159.05 = 625.97/x
  3. Step 3: Cross multiply
    2,106.43x = 3,159.05 × 625.97
  4. Step 4: Simplify right side
    2,106.43x = 1,977,470.53
  5. Step 5: Solve for x
    x = 1,977,470.53/2,106.43
  6. Step 6: Final answer
    x = 938.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.