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Finding the Fourth Proportional to 2,846.91, 4,278.06 and 2,686.53

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Solution

The fourth proportional to 2,846.91, 4,278.06 and 2,686.53 is: 4,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.91 : 4,278.06 = 2,686.53 : x
  2. Step 2: Convert to fraction form
    2,846.91/4,278.06 = 2,686.53/x
  3. Step 3: Cross multiply
    2,846.91x = 4,278.06 × 2,686.53
  4. Step 4: Simplify right side
    2,846.91x = 11,493,136.53
  5. Step 5: Solve for x
    x = 11,493,136.53/2,846.91
  6. Step 6: Final answer
    x = 4,037.06

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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.