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Finding the Fourth Proportional to 4,074.66, 6,108.98 and 1,299.73

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Solution

The fourth proportional to 4,074.66, 6,108.98 and 1,299.73 is: 1,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.66 : 6,108.98 = 1,299.73 : x
  2. Step 2: Convert to fraction form
    4,074.66/6,108.98 = 1,299.73/x
  3. Step 3: Cross multiply
    4,074.66x = 6,108.98 × 1,299.73
  4. Step 4: Simplify right side
    4,074.66x = 7,940,024.58
  5. Step 5: Solve for x
    x = 7,940,024.58/4,074.66
  6. Step 6: Final answer
    x = 1,948.64

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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.