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Finding the Fourth Proportional to 2,073.99, 3,112.21 and 757.63

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Solution

The fourth proportional to 2,073.99, 3,112.21 and 757.63 is: 1,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.99 : 3,112.21 = 757.63 : x
  2. Step 2: Convert to fraction form
    2,073.99/3,112.21 = 757.63/x
  3. Step 3: Cross multiply
    2,073.99x = 3,112.21 × 757.63
  4. Step 4: Simplify right side
    2,073.99x = 2,357,888.10
  5. Step 5: Solve for x
    x = 2,357,888.10/2,073.99
  6. Step 6: Final answer
    x = 1,136.88

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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.