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Finding the Fourth Proportional to 1,849.96, 2,773.86 and 983.80

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Solution

The fourth proportional to 1,849.96, 2,773.86 and 983.80 is: 1,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.96 : 2,773.86 = 983.80 : x
  2. Step 2: Convert to fraction form
    1,849.96/2,773.86 = 983.80/x
  3. Step 3: Cross multiply
    1,849.96x = 2,773.86 × 983.80
  4. Step 4: Simplify right side
    1,849.96x = 2,728,923.47
  5. Step 5: Solve for x
    x = 2,728,923.47/1,849.96
  6. Step 6: Final answer
    x = 1,475.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.