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Finding the Fourth Proportional to 2,601.60, 3,590.26 and 1,422.72

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Solution

The fourth proportional to 2,601.60, 3,590.26 and 1,422.72 is: 1,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.60 : 3,590.26 = 1,422.72 : x
  2. Step 2: Convert to fraction form
    2,601.60/3,590.26 = 1,422.72/x
  3. Step 3: Cross multiply
    2,601.60x = 3,590.26 × 1,422.72
  4. Step 4: Simplify right side
    2,601.60x = 5,107,934.71
  5. Step 5: Solve for x
    x = 5,107,934.71/2,601.60
  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.