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Finding the Fourth Proportional to 2,046.57, 3,069.85 and 585.73

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Solution

The fourth proportional to 2,046.57, 3,069.85 and 585.73 is: 878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.57 : 3,069.85 = 585.73 : x
  2. Step 2: Convert to fraction form
    2,046.57/3,069.85 = 585.73/x
  3. Step 3: Cross multiply
    2,046.57x = 3,069.85 × 585.73
  4. Step 4: Simplify right side
    2,046.57x = 1,798,106.71
  5. Step 5: Solve for x
    x = 1,798,106.71/2,046.57
  6. Step 6: Final answer
    x = 878.59

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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.