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Finding the Fourth Proportional to 1,837.71, 2,756.97 and 605.51

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Solution

The fourth proportional to 1,837.71, 2,756.97 and 605.51 is: 908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.71 : 2,756.97 = 605.51 : x
  2. Step 2: Convert to fraction form
    1,837.71/2,756.97 = 605.51/x
  3. Step 3: Cross multiply
    1,837.71x = 2,756.97 × 605.51
  4. Step 4: Simplify right side
    1,837.71x = 1,669,359.12
  5. Step 5: Solve for x
    x = 1,669,359.12/1,837.71
  6. Step 6: Final answer
    x = 908.39

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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.