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Finding the Fourth Proportional to 3,153.29, 4,728.31 and 1,693.67

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Solution

The fourth proportional to 3,153.29, 4,728.31 and 1,693.67 is: 2,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.29 : 4,728.31 = 1,693.67 : x
  2. Step 2: Convert to fraction form
    3,153.29/4,728.31 = 1,693.67/x
  3. Step 3: Cross multiply
    3,153.29x = 4,728.31 × 1,693.67
  4. Step 4: Simplify right side
    3,153.29x = 8,008,166.80
  5. Step 5: Solve for x
    x = 8,008,166.80/3,153.29
  6. Step 6: Final answer
    x = 2,539.63

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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.