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Finding the Fourth Proportional to 2,394.63, 3,591.74 and 834.23

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Solution

The fourth proportional to 2,394.63, 3,591.74 and 834.23 is: 1,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.63 : 3,591.74 = 834.23 : x
  2. Step 2: Convert to fraction form
    2,394.63/3,591.74 = 834.23/x
  3. Step 3: Cross multiply
    2,394.63x = 3,591.74 × 834.23
  4. Step 4: Simplify right side
    2,394.63x = 2,996,315.13
  5. Step 5: Solve for x
    x = 2,996,315.13/2,394.63
  6. Step 6: Final answer
    x = 1,251.26

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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.