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Finding the Fourth Proportional to 2,569.24, 3,854.43 and 814.23

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Solution

The fourth proportional to 2,569.24, 3,854.43 and 814.23 is: 1,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.24 : 3,854.43 = 814.23 : x
  2. Step 2: Convert to fraction form
    2,569.24/3,854.43 = 814.23/x
  3. Step 3: Cross multiply
    2,569.24x = 3,854.43 × 814.23
  4. Step 4: Simplify right side
    2,569.24x = 3,138,405.67
  5. Step 5: Solve for x
    x = 3,138,405.67/2,569.24
  6. Step 6: Final answer
    x = 1,221.53

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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.