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Finding the Fourth Proportional to 2,617.59, 3,927.23 and 1,231.06

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Solution

The fourth proportional to 2,617.59, 3,927.23 and 1,231.06 is: 1,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.59 : 3,927.23 = 1,231.06 : x
  2. Step 2: Convert to fraction form
    2,617.59/3,927.23 = 1,231.06/x
  3. Step 3: Cross multiply
    2,617.59x = 3,927.23 × 1,231.06
  4. Step 4: Simplify right side
    2,617.59x = 4,834,669.74
  5. Step 5: Solve for x
    x = 4,834,669.74/2,617.59
  6. Step 6: Final answer
    x = 1,846.99

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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.