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Finding the Fourth Proportional to 2,686.61, 4,026.14 and 2,136.35

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Solution

The fourth proportional to 2,686.61, 4,026.14 and 2,136.35 is: 3,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.61 : 4,026.14 = 2,136.35 : x
  2. Step 2: Convert to fraction form
    2,686.61/4,026.14 = 2,136.35/x
  3. Step 3: Cross multiply
    2,686.61x = 4,026.14 × 2,136.35
  4. Step 4: Simplify right side
    2,686.61x = 8,601,233.51
  5. Step 5: Solve for x
    x = 8,601,233.51/2,686.61
  6. Step 6: Final answer
    x = 3,201.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.