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Finding the Fourth Proportional to 3,074.65, 4,610.98 and 994.21

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Solution

The fourth proportional to 3,074.65, 4,610.98 and 994.21 is: 1,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.65 : 4,610.98 = 994.21 : x
  2. Step 2: Convert to fraction form
    3,074.65/4,610.98 = 994.21/x
  3. Step 3: Cross multiply
    3,074.65x = 4,610.98 × 994.21
  4. Step 4: Simplify right side
    3,074.65x = 4,584,282.43
  5. Step 5: Solve for x
    x = 4,584,282.43/3,074.65
  6. Step 6: Final answer
    x = 1,490.99

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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.