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Finding the Fourth Proportional to 2,809.82, 3,876.35 and 1,690.10

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Solution

The fourth proportional to 2,809.82, 3,876.35 and 1,690.10 is: 2,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.82 : 3,876.35 = 1,690.10 : x
  2. Step 2: Convert to fraction form
    2,809.82/3,876.35 = 1,690.10/x
  3. Step 3: Cross multiply
    2,809.82x = 3,876.35 × 1,690.10
  4. Step 4: Simplify right side
    2,809.82x = 6,551,391.30
  5. Step 5: Solve for x
    x = 6,551,391.30/2,809.82
  6. Step 6: Final answer
    x = 2,331.61

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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.