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Finding the Fourth Proportional to 2,390.06, 3,583.04 and 908.44

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Solution

The fourth proportional to 2,390.06, 3,583.04 and 908.44 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.06 : 3,583.04 = 908.44 : x
  2. Step 2: Convert to fraction form
    2,390.06/3,583.04 = 908.44/x
  3. Step 3: Cross multiply
    2,390.06x = 3,583.04 × 908.44
  4. Step 4: Simplify right side
    2,390.06x = 3,254,976.86
  5. Step 5: Solve for x
    x = 3,254,976.86/2,390.06
  6. Step 6: Final answer
    x = 1,361.88

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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.