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Finding the Fourth Proportional to 2,006.86, 2,766.79 and 1,535.03

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Solution

The fourth proportional to 2,006.86, 2,766.79 and 1,535.03 is: 2,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.86 : 2,766.79 = 1,535.03 : x
  2. Step 2: Convert to fraction form
    2,006.86/2,766.79 = 1,535.03/x
  3. Step 3: Cross multiply
    2,006.86x = 2,766.79 × 1,535.03
  4. Step 4: Simplify right side
    2,006.86x = 4,247,105.65
  5. Step 5: Solve for x
    x = 4,247,105.65/2,006.86
  6. Step 6: Final answer
    x = 2,116.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.