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Finding the Fourth Proportional to 2,650.32, 3,970.72 and 2,494.16

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Solution

The fourth proportional to 2,650.32, 3,970.72 and 2,494.16 is: 3,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.32 : 3,970.72 = 2,494.16 : x
  2. Step 2: Convert to fraction form
    2,650.32/3,970.72 = 2,494.16/x
  3. Step 3: Cross multiply
    2,650.32x = 3,970.72 × 2,494.16
  4. Step 4: Simplify right side
    2,650.32x = 9,903,611.00
  5. Step 5: Solve for x
    x = 9,903,611.00/2,650.32
  6. Step 6: Final answer
    x = 3,736.76

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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.