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Finding the Fourth Proportional to 2,601.49, 3,590.13 and 1,422.58

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Solution

The fourth proportional to 2,601.49, 3,590.13 and 1,422.58 is: 1,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.49 : 3,590.13 = 1,422.58 : x
  2. Step 2: Convert to fraction form
    2,601.49/3,590.13 = 1,422.58/x
  3. Step 3: Cross multiply
    2,601.49x = 3,590.13 × 1,422.58
  4. Step 4: Simplify right side
    2,601.49x = 5,107,247.14
  5. Step 5: Solve for x
    x = 5,107,247.14/2,601.49
  6. Step 6: Final answer
    x = 1,963.20

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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.