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Finding the Fourth Proportional to 2,601.59, 3,590.20 and 1,422.66

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Solution

The fourth proportional to 2,601.59, 3,590.20 and 1,422.66 is: 1,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.59 : 3,590.20 = 1,422.66 : x
  2. Step 2: Convert to fraction form
    2,601.59/3,590.20 = 1,422.66/x
  3. Step 3: Cross multiply
    2,601.59x = 3,590.20 × 1,422.66
  4. Step 4: Simplify right side
    2,601.59x = 5,107,633.93
  5. Step 5: Solve for x
    x = 5,107,633.93/2,601.59
  6. Step 6: Final answer
    x = 1,963.27

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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.