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Finding the Fourth Proportional to 4,682.90, 7,024.50 and 1,760.52

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Solution

The fourth proportional to 4,682.90, 7,024.50 and 1,760.52 is: 2,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.90 : 7,024.50 = 1,760.52 : x
  2. Step 2: Convert to fraction form
    4,682.90/7,024.50 = 1,760.52/x
  3. Step 3: Cross multiply
    4,682.90x = 7,024.50 × 1,760.52
  4. Step 4: Simplify right side
    4,682.90x = 12,366,772.74
  5. Step 5: Solve for x
    x = 12,366,772.74/4,682.90
  6. Step 6: Final answer
    x = 2,640.84

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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.