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Finding the Fourth Proportional to 2,832.45, 4,247.16 and 983.03

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Solution

The fourth proportional to 2,832.45, 4,247.16 and 983.03 is: 1,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.45 : 4,247.16 = 983.03 : x
  2. Step 2: Convert to fraction form
    2,832.45/4,247.16 = 983.03/x
  3. Step 3: Cross multiply
    2,832.45x = 4,247.16 × 983.03
  4. Step 4: Simplify right side
    2,832.45x = 4,175,064.46
  5. Step 5: Solve for x
    x = 4,175,064.46/2,832.45
  6. Step 6: Final answer
    x = 1,474.01

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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.