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Finding the Fourth Proportional to 3,191.37, 4,787.61 and 999.54

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Solution

The fourth proportional to 3,191.37, 4,787.61 and 999.54 is: 1,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.37 : 4,787.61 = 999.54 : x
  2. Step 2: Convert to fraction form
    3,191.37/4,787.61 = 999.54/x
  3. Step 3: Cross multiply
    3,191.37x = 4,787.61 × 999.54
  4. Step 4: Simplify right side
    3,191.37x = 4,785,407.70
  5. Step 5: Solve for x
    x = 4,785,407.70/3,191.37
  6. Step 6: Final answer
    x = 1,499.48

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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.