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Finding the Fourth Proportional to 2,382.02, 3,570.48 and 994.99

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Solution

The fourth proportional to 2,382.02, 3,570.48 and 994.99 is: 1,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.02 : 3,570.48 = 994.99 : x
  2. Step 2: Convert to fraction form
    2,382.02/3,570.48 = 994.99/x
  3. Step 3: Cross multiply
    2,382.02x = 3,570.48 × 994.99
  4. Step 4: Simplify right side
    2,382.02x = 3,552,591.90
  5. Step 5: Solve for x
    x = 3,552,591.90/2,382.02
  6. Step 6: Final answer
    x = 1,491.42

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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.