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Finding the Fourth Proportional to 1,835.23, 2,751.81 and 724.99

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Solution

The fourth proportional to 1,835.23, 2,751.81 and 724.99 is: 1,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.23 : 2,751.81 = 724.99 : x
  2. Step 2: Convert to fraction form
    1,835.23/2,751.81 = 724.99/x
  3. Step 3: Cross multiply
    1,835.23x = 2,751.81 × 724.99
  4. Step 4: Simplify right side
    1,835.23x = 1,995,034.73
  5. Step 5: Solve for x
    x = 1,995,034.73/1,835.23
  6. Step 6: Final answer
    x = 1,087.08

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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.