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Finding the Fourth Proportional to 2,046.58, 3,069.80 and 585.73

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Solution

The fourth proportional to 2,046.58, 3,069.80 and 585.73 is: 878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.58 : 3,069.80 = 585.73 : x
  2. Step 2: Convert to fraction form
    2,046.58/3,069.80 = 585.73/x
  3. Step 3: Cross multiply
    2,046.58x = 3,069.80 × 585.73
  4. Step 4: Simplify right side
    2,046.58x = 1,798,077.06
  5. Step 5: Solve for x
    x = 1,798,077.06/2,046.58
  6. Step 6: Final answer
    x = 878.58

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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.