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Finding the Fourth Proportional to 1,837.59, 2,754.41 and 911.30

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Solution

The fourth proportional to 1,837.59, 2,754.41 and 911.30 is: 1,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.59 : 2,754.41 = 911.30 : x
  2. Step 2: Convert to fraction form
    1,837.59/2,754.41 = 911.30/x
  3. Step 3: Cross multiply
    1,837.59x = 2,754.41 × 911.30
  4. Step 4: Simplify right side
    1,837.59x = 2,510,091.00
  5. Step 5: Solve for x
    x = 2,510,091.00/1,837.59
  6. Step 6: Final answer
    x = 1,365.97

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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.