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Finding the Fourth Proportional to 3,046.92, 4,570.56 and 855.83

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Solution

The fourth proportional to 3,046.92, 4,570.56 and 855.83 is: 1,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.92 : 4,570.56 = 855.83 : x
  2. Step 2: Convert to fraction form
    3,046.92/4,570.56 = 855.83/x
  3. Step 3: Cross multiply
    3,046.92x = 4,570.56 × 855.83
  4. Step 4: Simplify right side
    3,046.92x = 3,911,633.79
  5. Step 5: Solve for x
    x = 3,911,633.79/3,046.92
  6. Step 6: Final answer
    x = 1,283.80

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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.