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Finding the Fourth Proportional to 4,682.45, 7,024.73 and 1,760.78

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Solution

The fourth proportional to 4,682.45, 7,024.73 and 1,760.78 is: 2,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.45 : 7,024.73 = 1,760.78 : x
  2. Step 2: Convert to fraction form
    4,682.45/7,024.73 = 1,760.78/x
  3. Step 3: Cross multiply
    4,682.45x = 7,024.73 × 1,760.78
  4. Step 4: Simplify right side
    4,682.45x = 12,369,012.85
  5. Step 5: Solve for x
    x = 12,369,012.85/4,682.45
  6. Step 6: Final answer
    x = 2,641.57

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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.