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Finding the Fourth Proportional to 2,049.40, 3,074.12 and 588.57

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Solution

The fourth proportional to 2,049.40, 3,074.12 and 588.57 is: 882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.40 : 3,074.12 = 588.57 : x
  2. Step 2: Convert to fraction form
    2,049.40/3,074.12 = 588.57/x
  3. Step 3: Cross multiply
    2,049.40x = 3,074.12 × 588.57
  4. Step 4: Simplify right side
    2,049.40x = 1,809,322.54
  5. Step 5: Solve for x
    x = 1,809,322.54/2,049.40
  6. Step 6: Final answer
    x = 882.85

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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.