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Finding the Fourth Proportional to 3,193.36, 4,790.10 and 884.92

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Solution

The fourth proportional to 3,193.36, 4,790.10 and 884.92 is: 1,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.36 : 4,790.10 = 884.92 : x
  2. Step 2: Convert to fraction form
    3,193.36/4,790.10 = 884.92/x
  3. Step 3: Cross multiply
    3,193.36x = 4,790.10 × 884.92
  4. Step 4: Simplify right side
    3,193.36x = 4,238,855.29
  5. Step 5: Solve for x
    x = 4,238,855.29/3,193.36
  6. Step 6: Final answer
    x = 1,327.40

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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.