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Finding the Fourth Proportional to 3,193.77, 4,790.66 and 1,003.12

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Solution

The fourth proportional to 3,193.77, 4,790.66 and 1,003.12 is: 1,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.77 : 4,790.66 = 1,003.12 : x
  2. Step 2: Convert to fraction form
    3,193.77/4,790.66 = 1,003.12/x
  3. Step 3: Cross multiply
    3,193.77x = 4,790.66 × 1,003.12
  4. Step 4: Simplify right side
    3,193.77x = 4,805,606.86
  5. Step 5: Solve for x
    x = 4,805,606.86/3,193.77
  6. Step 6: Final answer
    x = 1,504.68

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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.