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Finding the Fourth Proportional to 1,849.07, 2,772.84 and 923.52

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Solution

The fourth proportional to 1,849.07, 2,772.84 and 923.52 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.07 : 2,772.84 = 923.52 : x
  2. Step 2: Convert to fraction form
    1,849.07/2,772.84 = 923.52/x
  3. Step 3: Cross multiply
    1,849.07x = 2,772.84 × 923.52
  4. Step 4: Simplify right side
    1,849.07x = 2,560,773.20
  5. Step 5: Solve for x
    x = 2,560,773.20/1,849.07
  6. Step 6: Final answer
    x = 1,384.90

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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.