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Finding the Fourth Proportional to 3,193.83, 4,787.71 and 1,548.72

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Solution

The fourth proportional to 3,193.83, 4,787.71 and 1,548.72 is: 2,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.83 : 4,787.71 = 1,548.72 : x
  2. Step 2: Convert to fraction form
    3,193.83/4,787.71 = 1,548.72/x
  3. Step 3: Cross multiply
    3,193.83x = 4,787.71 × 1,548.72
  4. Step 4: Simplify right side
    3,193.83x = 7,414,818.36
  5. Step 5: Solve for x
    x = 7,414,818.36/3,193.83
  6. Step 6: Final answer
    x = 2,321.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.