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Finding the Fourth Proportional to 1,849.14, 2,772.63 and 616.22

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Solution

The fourth proportional to 1,849.14, 2,772.63 and 616.22 is: 923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.14 : 2,772.63 = 616.22 : x
  2. Step 2: Convert to fraction form
    1,849.14/2,772.63 = 616.22/x
  3. Step 3: Cross multiply
    1,849.14x = 2,772.63 × 616.22
  4. Step 4: Simplify right side
    1,849.14x = 1,708,536.20
  5. Step 5: Solve for x
    x = 1,708,536.20/1,849.14
  6. Step 6: Final answer
    x = 923.96

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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.