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Finding the Fourth Proportional to 2,834.13, 4,251.43 and 782.13

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Solution

The fourth proportional to 2,834.13, 4,251.43 and 782.13 is: 1,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.13 : 4,251.43 = 782.13 : x
  2. Step 2: Convert to fraction form
    2,834.13/4,251.43 = 782.13/x
  3. Step 3: Cross multiply
    2,834.13x = 4,251.43 × 782.13
  4. Step 4: Simplify right side
    2,834.13x = 3,325,151.64
  5. Step 5: Solve for x
    x = 3,325,151.64/2,834.13
  6. Step 6: Final answer
    x = 1,173.26

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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.