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Finding the Fourth Proportional to 2,297, 3,445.50 and 565.62

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Solution

The fourth proportional to 2,297, 3,445.50 and 565.62 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297 : 3,445.50 = 565.62 : x
  2. Step 2: Convert to fraction form
    2,297/3,445.50 = 565.62/x
  3. Step 3: Cross multiply
    2,297x = 3,445.50 × 565.62
  4. Step 4: Simplify right side
    2,297x = 1,948,843.71
  5. Step 5: Solve for x
    x = 1,948,843.71/2,297
  6. Step 6: Final answer
    x = 848.43

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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.