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Finding the Fourth Proportional to 3,104.46, 4,653.36 and 1,023.90

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Solution

The fourth proportional to 3,104.46, 4,653.36 and 1,023.90 is: 1,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.46 : 4,653.36 = 1,023.90 : x
  2. Step 2: Convert to fraction form
    3,104.46/4,653.36 = 1,023.90/x
  3. Step 3: Cross multiply
    3,104.46x = 4,653.36 × 1,023.90
  4. Step 4: Simplify right side
    3,104.46x = 4,764,575.30
  5. Step 5: Solve for x
    x = 4,764,575.30/3,104.46
  6. Step 6: Final answer
    x = 1,534.75

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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.