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Finding the Fourth Proportional to 1,835.99, 2,754.93 and 911.52

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Solution

The fourth proportional to 1,835.99, 2,754.93 and 911.52 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.99 : 2,754.93 = 911.52 : x
  2. Step 2: Convert to fraction form
    1,835.99/2,754.93 = 911.52/x
  3. Step 3: Cross multiply
    1,835.99x = 2,754.93 × 911.52
  4. Step 4: Simplify right side
    1,835.99x = 2,511,173.79
  5. Step 5: Solve for x
    x = 2,511,173.79/1,835.99
  6. Step 6: Final answer
    x = 1,367.75

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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.