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Finding the Fourth Proportional to 2,049.60, 3,074.92 and 588.84

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Solution

The fourth proportional to 2,049.60, 3,074.92 and 588.84 is: 883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.60 : 3,074.92 = 588.84 : x
  2. Step 2: Convert to fraction form
    2,049.60/3,074.92 = 588.84/x
  3. Step 3: Cross multiply
    2,049.60x = 3,074.92 × 588.84
  4. Step 4: Simplify right side
    2,049.60x = 1,810,635.89
  5. Step 5: Solve for x
    x = 1,810,635.89/2,049.60
  6. Step 6: Final answer
    x = 883.41

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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.