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Finding the Fourth Proportional to 2,376.09, 3,564.41 and 990.36

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Solution

The fourth proportional to 2,376.09, 3,564.41 and 990.36 is: 1,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.09 : 3,564.41 = 990.36 : x
  2. Step 2: Convert to fraction form
    2,376.09/3,564.41 = 990.36/x
  3. Step 3: Cross multiply
    2,376.09x = 3,564.41 × 990.36
  4. Step 4: Simplify right side
    2,376.09x = 3,530,049.09
  5. Step 5: Solve for x
    x = 3,530,049.09/2,376.09
  6. Step 6: Final answer
    x = 1,485.66

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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.