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Finding the Fourth Proportional to 2,403.57, 3,606.96 and 843.58

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Solution

The fourth proportional to 2,403.57, 3,606.96 and 843.58 is: 1,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.57 : 3,606.96 = 843.58 : x
  2. Step 2: Convert to fraction form
    2,403.57/3,606.96 = 843.58/x
  3. Step 3: Cross multiply
    2,403.57x = 3,606.96 × 843.58
  4. Step 4: Simplify right side
    2,403.57x = 3,042,766.99
  5. Step 5: Solve for x
    x = 3,042,766.99/2,403.57
  6. Step 6: Final answer
    x = 1,265.94

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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.