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Finding the Fourth Proportional to 2,049.34, 3,074.52 and 588.46

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Solution

The fourth proportional to 2,049.34, 3,074.52 and 588.46 is: 882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.34 : 3,074.52 = 588.46 : x
  2. Step 2: Convert to fraction form
    2,049.34/3,074.52 = 588.46/x
  3. Step 3: Cross multiply
    2,049.34x = 3,074.52 × 588.46
  4. Step 4: Simplify right side
    2,049.34x = 1,809,232.04
  5. Step 5: Solve for x
    x = 1,809,232.04/2,049.34
  6. Step 6: Final answer
    x = 882.84

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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.