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Finding the Fourth Proportional to 2,033.50, 2,806.29 and 1,149.29

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Solution

The fourth proportional to 2,033.50, 2,806.29 and 1,149.29 is: 1,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.50 : 2,806.29 = 1,149.29 : x
  2. Step 2: Convert to fraction form
    2,033.50/2,806.29 = 1,149.29/x
  3. Step 3: Cross multiply
    2,033.50x = 2,806.29 × 1,149.29
  4. Step 4: Simplify right side
    2,033.50x = 3,225,229.07
  5. Step 5: Solve for x
    x = 3,225,229.07/2,033.50
  6. Step 6: Final answer
    x = 1,586.05

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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.