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Finding the Fourth Proportional to 3,193.81, 4,787.47 and 2,023.45

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Solution

The fourth proportional to 3,193.81, 4,787.47 and 2,023.45 is: 3,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.81 : 4,787.47 = 2,023.45 : x
  2. Step 2: Convert to fraction form
    3,193.81/4,787.47 = 2,023.45/x
  3. Step 3: Cross multiply
    3,193.81x = 4,787.47 × 2,023.45
  4. Step 4: Simplify right side
    3,193.81x = 9,687,189.14
  5. Step 5: Solve for x
    x = 9,687,189.14/3,193.81
  6. Step 6: Final answer
    x = 3,033.12

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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.