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Finding the Fourth Proportional to 2,052.23, 3,079.70 and 753.71

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Solution

The fourth proportional to 2,052.23, 3,079.70 and 753.71 is: 1,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.23 : 3,079.70 = 753.71 : x
  2. Step 2: Convert to fraction form
    2,052.23/3,079.70 = 753.71/x
  3. Step 3: Cross multiply
    2,052.23x = 3,079.70 × 753.71
  4. Step 4: Simplify right side
    2,052.23x = 2,321,196.92
  5. Step 5: Solve for x
    x = 2,321,196.92/2,052.23
  6. Step 6: Final answer
    x = 1,131.06

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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.