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Finding the Fourth Proportional to 2,046.60, 3,069.90 and 565.82

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Solution

The fourth proportional to 2,046.60, 3,069.90 and 565.82 is: 848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.60 : 3,069.90 = 565.82 : x
  2. Step 2: Convert to fraction form
    2,046.60/3,069.90 = 565.82/x
  3. Step 3: Cross multiply
    2,046.60x = 3,069.90 × 565.82
  4. Step 4: Simplify right side
    2,046.60x = 1,737,006.98
  5. Step 5: Solve for x
    x = 1,737,006.98/2,046.60
  6. Step 6: Final answer
    x = 848.73

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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.