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Finding the Fourth Proportional to 2,107.47, 3,160.53 and 996.74

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Solution

The fourth proportional to 2,107.47, 3,160.53 and 996.74 is: 1,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.47 : 3,160.53 = 996.74 : x
  2. Step 2: Convert to fraction form
    2,107.47/3,160.53 = 996.74/x
  3. Step 3: Cross multiply
    2,107.47x = 3,160.53 × 996.74
  4. Step 4: Simplify right side
    2,107.47x = 3,150,210.87
  5. Step 5: Solve for x
    x = 3,150,210.87/2,107.47
  6. Step 6: Final answer
    x = 1,494.78

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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.