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Finding the Fourth Proportional to 2,698.10, 3,723.92 and 1,702.71

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Solution

The fourth proportional to 2,698.10, 3,723.92 and 1,702.71 is: 2,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.10 : 3,723.92 = 1,702.71 : x
  2. Step 2: Convert to fraction form
    2,698.10/3,723.92 = 1,702.71/x
  3. Step 3: Cross multiply
    2,698.10x = 3,723.92 × 1,702.71
  4. Step 4: Simplify right side
    2,698.10x = 6,340,747.31
  5. Step 5: Solve for x
    x = 6,340,747.31/2,698.10
  6. Step 6: Final answer
    x = 2,350.08

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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.