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Finding the Fourth Proportional to 2,297.30, 3,445.92 and 565.92

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Solution

The fourth proportional to 2,297.30, 3,445.92 and 565.92 is: 848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.30 : 3,445.92 = 565.92 : x
  2. Step 2: Convert to fraction form
    2,297.30/3,445.92 = 565.92/x
  3. Step 3: Cross multiply
    2,297.30x = 3,445.92 × 565.92
  4. Step 4: Simplify right side
    2,297.30x = 1,950,115.05
  5. Step 5: Solve for x
    x = 1,950,115.05/2,297.30
  6. Step 6: Final answer
    x = 848.87

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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.