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Finding the Fourth Proportional to 2,601.84, 3,590.53 and 1,422.91

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Solution

The fourth proportional to 2,601.84, 3,590.53 and 1,422.91 is: 1,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.84 : 3,590.53 = 1,422.91 : x
  2. Step 2: Convert to fraction form
    2,601.84/3,590.53 = 1,422.91/x
  3. Step 3: Cross multiply
    2,601.84x = 3,590.53 × 1,422.91
  4. Step 4: Simplify right side
    2,601.84x = 5,108,983.09
  5. Step 5: Solve for x
    x = 5,108,983.09/2,601.84
  6. Step 6: Final answer
    x = 1,963.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.