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Finding the Fourth Proportional to 3,255.94, 4,884.38 and 947.14

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Solution

The fourth proportional to 3,255.94, 4,884.38 and 947.14 is: 1,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.94 : 4,884.38 = 947.14 : x
  2. Step 2: Convert to fraction form
    3,255.94/4,884.38 = 947.14/x
  3. Step 3: Cross multiply
    3,255.94x = 4,884.38 × 947.14
  4. Step 4: Simplify right side
    3,255.94x = 4,626,191.67
  5. Step 5: Solve for x
    x = 4,626,191.67/3,255.94
  6. Step 6: Final answer
    x = 1,420.85

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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.