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Finding the Fourth Proportional to 3,133.44, 4,701.69 and 1,285.11

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Solution

The fourth proportional to 3,133.44, 4,701.69 and 1,285.11 is: 1,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.44 : 4,701.69 = 1,285.11 : x
  2. Step 2: Convert to fraction form
    3,133.44/4,701.69 = 1,285.11/x
  3. Step 3: Cross multiply
    3,133.44x = 4,701.69 × 1,285.11
  4. Step 4: Simplify right side
    3,133.44x = 6,042,188.84
  5. Step 5: Solve for x
    x = 6,042,188.84/3,133.44
  6. Step 6: Final answer
    x = 1,928.29

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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.