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Finding the Fourth Proportional to 2,601.64, 3,590.30 and 1,422.73

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Solution

The fourth proportional to 2,601.64, 3,590.30 and 1,422.73 is: 1,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.64 : 3,590.30 = 1,422.73 : x
  2. Step 2: Convert to fraction form
    2,601.64/3,590.30 = 1,422.73/x
  3. Step 3: Cross multiply
    2,601.64x = 3,590.30 × 1,422.73
  4. Step 4: Simplify right side
    2,601.64x = 5,108,002.45
  5. Step 5: Solve for x
    x = 5,108,002.45/2,601.64
  6. Step 6: Final answer
    x = 1,963.38

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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.