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Finding the Fourth Proportional to 3,046.25, 4,569.53 and 855.20

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Solution

The fourth proportional to 3,046.25, 4,569.53 and 855.20 is: 1,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.25 : 4,569.53 = 855.20 : x
  2. Step 2: Convert to fraction form
    3,046.25/4,569.53 = 855.20/x
  3. Step 3: Cross multiply
    3,046.25x = 4,569.53 × 855.20
  4. Step 4: Simplify right side
    3,046.25x = 3,907,869.20
  5. Step 5: Solve for x
    x = 3,907,869.20/3,046.25
  6. Step 6: Final answer
    x = 1,282.84

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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.