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Finding the Fourth Proportional to 2,102.99, 3,156.43 and 1,063.73

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Solution

The fourth proportional to 2,102.99, 3,156.43 and 1,063.73 is: 1,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.99 : 3,156.43 = 1,063.73 : x
  2. Step 2: Convert to fraction form
    2,102.99/3,156.43 = 1,063.73/x
  3. Step 3: Cross multiply
    2,102.99x = 3,156.43 × 1,063.73
  4. Step 4: Simplify right side
    2,102.99x = 3,357,589.28
  5. Step 5: Solve for x
    x = 3,357,589.28/2,102.99
  6. Step 6: Final answer
    x = 1,596.58

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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.