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Finding the Fourth Proportional to 1,232.70, 1,849.05 and 1,131.90

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Solution

The fourth proportional to 1,232.70, 1,849.05 and 1,131.90 is: 1,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.70 : 1,849.05 = 1,131.90 : x
  2. Step 2: Convert to fraction form
    1,232.70/1,849.05 = 1,131.90/x
  3. Step 3: Cross multiply
    1,232.70x = 1,849.05 × 1,131.90
  4. Step 4: Simplify right side
    1,232.70x = 2,092,939.70
  5. Step 5: Solve for x
    x = 2,092,939.70/1,232.70
  6. Step 6: Final answer
    x = 1,697.85

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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.