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Finding the Fourth Proportional to 3,193.92, 4,790.16 and 885.60

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Solution

The fourth proportional to 3,193.92, 4,790.16 and 885.60 is: 1,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,790.16 = 885.60 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,790.16 = 885.60/x
  3. Step 3: Cross multiply
    3,193.92x = 4,790.16 × 885.60
  4. Step 4: Simplify right side
    3,193.92x = 4,242,165.70
  5. Step 5: Solve for x
    x = 4,242,165.70/3,193.92
  6. Step 6: Final answer
    x = 1,328.20

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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.