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Finding the Fourth Proportional to 1,837.11, 2,757.39 and 972.03

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Solution

The fourth proportional to 1,837.11, 2,757.39 and 972.03 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.11 : 2,757.39 = 972.03 : x
  2. Step 2: Convert to fraction form
    1,837.11/2,757.39 = 972.03/x
  3. Step 3: Cross multiply
    1,837.11x = 2,757.39 × 972.03
  4. Step 4: Simplify right side
    1,837.11x = 2,680,265.80
  5. Step 5: Solve for x
    x = 2,680,265.80/1,837.11
  6. Step 6: Final answer
    x = 1,458.96

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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.