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Finding the Fourth Proportional to 3,193.46, 4,406.62 and 1,776.92

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Solution

The fourth proportional to 3,193.46, 4,406.62 and 1,776.92 is: 2,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.46 : 4,406.62 = 1,776.92 : x
  2. Step 2: Convert to fraction form
    3,193.46/4,406.62 = 1,776.92/x
  3. Step 3: Cross multiply
    3,193.46x = 4,406.62 × 1,776.92
  4. Step 4: Simplify right side
    3,193.46x = 7,830,211.21
  5. Step 5: Solve for x
    x = 7,830,211.21/3,193.46
  6. Step 6: Final answer
    x = 2,451.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.