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Finding the Fourth Proportional to 2,685.30, 3,702.09 and 2,014.08

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Solution

The fourth proportional to 2,685.30, 3,702.09 and 2,014.08 is: 2,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.30 : 3,702.09 = 2,014.08 : x
  2. Step 2: Convert to fraction form
    2,685.30/3,702.09 = 2,014.08/x
  3. Step 3: Cross multiply
    2,685.30x = 3,702.09 × 2,014.08
  4. Step 4: Simplify right side
    2,685.30x = 7,456,305.43
  5. Step 5: Solve for x
    x = 7,456,305.43/2,685.30
  6. Step 6: Final answer
    x = 2,776.71

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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.