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Finding the Fourth Proportional to 2,297.27, 3,445.91 and 565.89

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Solution

The fourth proportional to 2,297.27, 3,445.91 and 565.89 is: 848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.27 : 3,445.91 = 565.89 : x
  2. Step 2: Convert to fraction form
    2,297.27/3,445.91 = 565.89/x
  3. Step 3: Cross multiply
    2,297.27x = 3,445.91 × 565.89
  4. Step 4: Simplify right side
    2,297.27x = 1,950,006.01
  5. Step 5: Solve for x
    x = 1,950,006.01/2,297.27
  6. Step 6: Final answer
    x = 848.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.