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Finding the Fourth Proportional to 3,193.30, 4,791.30 and 2,024.20

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Solution

The fourth proportional to 3,193.30, 4,791.30 and 2,024.20 is: 3,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.30 : 4,791.30 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    3,193.30/4,791.30 = 2,024.20/x
  3. Step 3: Cross multiply
    3,193.30x = 4,791.30 × 2,024.20
  4. Step 4: Simplify right side
    3,193.30x = 9,698,549.46
  5. Step 5: Solve for x
    x = 9,698,549.46/3,193.30
  6. Step 6: Final answer
    x = 3,037.16

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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.