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Finding the Fourth Proportional to 3,046.24, 4,569.53 and 855.14

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Solution

The fourth proportional to 3,046.24, 4,569.53 and 855.14 is: 1,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.24 : 4,569.53 = 855.14 : x
  2. Step 2: Convert to fraction form
    3,046.24/4,569.53 = 855.14/x
  3. Step 3: Cross multiply
    3,046.24x = 4,569.53 × 855.14
  4. Step 4: Simplify right side
    3,046.24x = 3,907,587.88
  5. Step 5: Solve for x
    x = 3,907,587.88/3,046.24
  6. Step 6: Final answer
    x = 1,282.76

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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.