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Finding the Fourth Proportional to 2,686.21, 3,702.70 and 2,118.13

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Solution

The fourth proportional to 2,686.21, 3,702.70 and 2,118.13 is: 2,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.21 : 3,702.70 = 2,118.13 : x
  2. Step 2: Convert to fraction form
    2,686.21/3,702.70 = 2,118.13/x
  3. Step 3: Cross multiply
    2,686.21x = 3,702.70 × 2,118.13
  4. Step 4: Simplify right side
    2,686.21x = 7,842,799.95
  5. Step 5: Solve for x
    x = 7,842,799.95/2,686.21
  6. Step 6: Final answer
    x = 2,919.65

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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.