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Finding the Fourth Proportional to 1,850.83, 2,776.21 and 618.33

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Solution

The fourth proportional to 1,850.83, 2,776.21 and 618.33 is: 927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.83 : 2,776.21 = 618.33 : x
  2. Step 2: Convert to fraction form
    1,850.83/2,776.21 = 618.33/x
  3. Step 3: Cross multiply
    1,850.83x = 2,776.21 × 618.33
  4. Step 4: Simplify right side
    1,850.83x = 1,716,613.93
  5. Step 5: Solve for x
    x = 1,716,613.93/1,850.83
  6. Step 6: Final answer
    x = 927.48

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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.