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Finding the Fourth Proportional to 2,682.68, 3,702.26 and 2,018.35

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Solution

The fourth proportional to 2,682.68, 3,702.26 and 2,018.35 is: 2,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.68 : 3,702.26 = 2,018.35 : x
  2. Step 2: Convert to fraction form
    2,682.68/3,702.26 = 2,018.35/x
  3. Step 3: Cross multiply
    2,682.68x = 3,702.26 × 2,018.35
  4. Step 4: Simplify right side
    2,682.68x = 7,472,427.87
  5. Step 5: Solve for x
    x = 7,472,427.87/2,682.68
  6. Step 6: Final answer
    x = 2,785.43

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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.