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Finding the Fourth Proportional to 2,601.93, 3,590.72 and 1,422.98

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Solution

The fourth proportional to 2,601.93, 3,590.72 and 1,422.98 is: 1,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.93 : 3,590.72 = 1,422.98 : x
  2. Step 2: Convert to fraction form
    2,601.93/3,590.72 = 1,422.98/x
  3. Step 3: Cross multiply
    2,601.93x = 3,590.72 × 1,422.98
  4. Step 4: Simplify right side
    2,601.93x = 5,109,522.75
  5. Step 5: Solve for x
    x = 5,109,522.75/2,601.93
  6. Step 6: Final answer
    x = 1,963.74

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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.