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Finding the Fourth Proportional to 2,297.64, 3,166.38 and 1,597.80

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Solution

The fourth proportional to 2,297.64, 3,166.38 and 1,597.80 is: 2,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.64 : 3,166.38 = 1,597.80 : x
  2. Step 2: Convert to fraction form
    2,297.64/3,166.38 = 1,597.80/x
  3. Step 3: Cross multiply
    2,297.64x = 3,166.38 × 1,597.80
  4. Step 4: Simplify right side
    2,297.64x = 5,059,241.96
  5. Step 5: Solve for x
    x = 5,059,241.96/2,297.64
  6. Step 6: Final answer
    x = 2,201.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.