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Finding the Fourth Proportional to 2,314.14, 3,470.55 and 833.14

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Solution

The fourth proportional to 2,314.14, 3,470.55 and 833.14 is: 1,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.14 : 3,470.55 = 833.14 : x
  2. Step 2: Convert to fraction form
    2,314.14/3,470.55 = 833.14/x
  3. Step 3: Cross multiply
    2,314.14x = 3,470.55 × 833.14
  4. Step 4: Simplify right side
    2,314.14x = 2,891,454.03
  5. Step 5: Solve for x
    x = 2,891,454.03/2,314.14
  6. Step 6: Final answer
    x = 1,249.48

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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.