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Finding the Fourth Proportional to 3,311.94, 4,967.94 and 1,120.66

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Solution

The fourth proportional to 3,311.94, 4,967.94 and 1,120.66 is: 1,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.94 : 4,967.94 = 1,120.66 : x
  2. Step 2: Convert to fraction form
    3,311.94/4,967.94 = 1,120.66/x
  3. Step 3: Cross multiply
    3,311.94x = 4,967.94 × 1,120.66
  4. Step 4: Simplify right side
    3,311.94x = 5,567,371.64
  5. Step 5: Solve for x
    x = 5,567,371.64/3,311.94
  6. Step 6: Final answer
    x = 1,681.00

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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.