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Finding the Fourth Proportional to 2,983.58, 4,115.06 and 1,990.16

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Solution

The fourth proportional to 2,983.58, 4,115.06 and 1,990.16 is: 2,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.58 : 4,115.06 = 1,990.16 : x
  2. Step 2: Convert to fraction form
    2,983.58/4,115.06 = 1,990.16/x
  3. Step 3: Cross multiply
    2,983.58x = 4,115.06 × 1,990.16
  4. Step 4: Simplify right side
    2,983.58x = 8,189,627.81
  5. Step 5: Solve for x
    x = 8,189,627.81/2,983.58
  6. Step 6: Final answer
    x = 2,744.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.