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Finding the Fourth Proportional to 3,023.92, 4,530.44 and 1,074.88

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Solution

The fourth proportional to 3,023.92, 4,530.44 and 1,074.88 is: 1,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.92 : 4,530.44 = 1,074.88 : x
  2. Step 2: Convert to fraction form
    3,023.92/4,530.44 = 1,074.88/x
  3. Step 3: Cross multiply
    3,023.92x = 4,530.44 × 1,074.88
  4. Step 4: Simplify right side
    3,023.92x = 4,869,679.35
  5. Step 5: Solve for x
    x = 4,869,679.35/3,023.92
  6. Step 6: Final answer
    x = 1,610.39

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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.