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Finding the Fourth Proportional to 2,296.82, 3,445.22 and 565.45

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Solution

The fourth proportional to 2,296.82, 3,445.22 and 565.45 is: 848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.82 : 3,445.22 = 565.45 : x
  2. Step 2: Convert to fraction form
    2,296.82/3,445.22 = 565.45/x
  3. Step 3: Cross multiply
    2,296.82x = 3,445.22 × 565.45
  4. Step 4: Simplify right side
    2,296.82x = 1,948,092.45
  5. Step 5: Solve for x
    x = 1,948,092.45/2,296.82
  6. Step 6: Final answer
    x = 848.17

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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.