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Finding the Fourth Proportional to 1,849.41, 2,772.11 and 923.13

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Solution

The fourth proportional to 1,849.41, 2,772.11 and 923.13 is: 1,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.41 : 2,772.11 = 923.13 : x
  2. Step 2: Convert to fraction form
    1,849.41/2,772.11 = 923.13/x
  3. Step 3: Cross multiply
    1,849.41x = 2,772.11 × 923.13
  4. Step 4: Simplify right side
    1,849.41x = 2,559,020.21
  5. Step 5: Solve for x
    x = 2,559,020.21/1,849.41
  6. Step 6: Final answer
    x = 1,383.70

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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.