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Finding the Fourth Proportional to 2,640.07, 3,642.26 and 1,695.73

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Solution

The fourth proportional to 2,640.07, 3,642.26 and 1,695.73 is: 2,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.07 : 3,642.26 = 1,695.73 : x
  2. Step 2: Convert to fraction form
    2,640.07/3,642.26 = 1,695.73/x
  3. Step 3: Cross multiply
    2,640.07x = 3,642.26 × 1,695.73
  4. Step 4: Simplify right side
    2,640.07x = 6,176,271.97
  5. Step 5: Solve for x
    x = 6,176,271.97/2,640.07
  6. Step 6: Final answer
    x = 2,339.44

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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.