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Finding the Fourth Proportional to 3,044.02, 4,563.96 and 963.34

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Solution

The fourth proportional to 3,044.02, 4,563.96 and 963.34 is: 1,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.02 : 4,563.96 = 963.34 : x
  2. Step 2: Convert to fraction form
    3,044.02/4,563.96 = 963.34/x
  3. Step 3: Cross multiply
    3,044.02x = 4,563.96 × 963.34
  4. Step 4: Simplify right side
    3,044.02x = 4,396,645.23
  5. Step 5: Solve for x
    x = 4,396,645.23/3,044.02
  6. Step 6: Final answer
    x = 1,444.35

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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.