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Finding the Fourth Proportional to 2,007.91, 2,991.74 and 1,789.66

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Solution

The fourth proportional to 2,007.91, 2,991.74 and 1,789.66 is: 2,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.91 : 2,991.74 = 1,789.66 : x
  2. Step 2: Convert to fraction form
    2,007.91/2,991.74 = 1,789.66/x
  3. Step 3: Cross multiply
    2,007.91x = 2,991.74 × 1,789.66
  4. Step 4: Simplify right side
    2,007.91x = 5,354,197.41
  5. Step 5: Solve for x
    x = 5,354,197.41/2,007.91
  6. Step 6: Final answer
    x = 2,666.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.