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Finding the Fourth Proportional to 2,297.14, 3,445.72 and 565.76

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Solution

The fourth proportional to 2,297.14, 3,445.72 and 565.76 is: 848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.14 : 3,445.72 = 565.76 : x
  2. Step 2: Convert to fraction form
    2,297.14/3,445.72 = 565.76/x
  3. Step 3: Cross multiply
    2,297.14x = 3,445.72 × 565.76
  4. Step 4: Simplify right side
    2,297.14x = 1,949,450.55
  5. Step 5: Solve for x
    x = 1,949,450.55/2,297.14
  6. Step 6: Final answer
    x = 848.64

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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.