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Finding the Fourth Proportional to 2,930.56, 4,396.24 and 983.32

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Solution

The fourth proportional to 2,930.56, 4,396.24 and 983.32 is: 1,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.56 : 4,396.24 = 983.32 : x
  2. Step 2: Convert to fraction form
    2,930.56/4,396.24 = 983.32/x
  3. Step 3: Cross multiply
    2,930.56x = 4,396.24 × 983.32
  4. Step 4: Simplify right side
    2,930.56x = 4,322,910.72
  5. Step 5: Solve for x
    x = 4,322,910.72/2,930.56
  6. Step 6: Final answer
    x = 1,475.11

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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.