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Finding the Fourth Proportional to 2,049.40, 3,073.18 and 588.22

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Solution

The fourth proportional to 2,049.40, 3,073.18 and 588.22 is: 882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.40 : 3,073.18 = 588.22 : x
  2. Step 2: Convert to fraction form
    2,049.40/3,073.18 = 588.22/x
  3. Step 3: Cross multiply
    2,049.40x = 3,073.18 × 588.22
  4. Step 4: Simplify right side
    2,049.40x = 1,807,705.94
  5. Step 5: Solve for x
    x = 1,807,705.94/2,049.40
  6. Step 6: Final answer
    x = 882.07

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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.