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Finding the Fourth Proportional to 2,650.42, 3,657.65 and 1,601.88

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Solution

The fourth proportional to 2,650.42, 3,657.65 and 1,601.88 is: 2,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.42 : 3,657.65 = 1,601.88 : x
  2. Step 2: Convert to fraction form
    2,650.42/3,657.65 = 1,601.88/x
  3. Step 3: Cross multiply
    2,650.42x = 3,657.65 × 1,601.88
  4. Step 4: Simplify right side
    2,650.42x = 5,859,116.38
  5. Step 5: Solve for x
    x = 5,859,116.38/2,650.42
  6. Step 6: Final answer
    x = 2,210.64

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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.