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Finding the Fourth Proportional to 2,896.35, 4,350.34 and 1,728.63

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Solution

The fourth proportional to 2,896.35, 4,350.34 and 1,728.63 is: 2,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.35 : 4,350.34 = 1,728.63 : x
  2. Step 2: Convert to fraction form
    2,896.35/4,350.34 = 1,728.63/x
  3. Step 3: Cross multiply
    2,896.35x = 4,350.34 × 1,728.63
  4. Step 4: Simplify right side
    2,896.35x = 7,520,123.91
  5. Step 5: Solve for x
    x = 7,520,123.91/2,896.35
  6. Step 6: Final answer
    x = 2,596.42

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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.