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Finding the Fourth Proportional to 3,290.64, 4,940.64 and 2,054.52

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Solution

The fourth proportional to 3,290.64, 4,940.64 and 2,054.52 is: 3,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.64 : 4,940.64 = 2,054.52 : x
  2. Step 2: Convert to fraction form
    3,290.64/4,940.64 = 2,054.52/x
  3. Step 3: Cross multiply
    3,290.64x = 4,940.64 × 2,054.52
  4. Step 4: Simplify right side
    3,290.64x = 10,150,643.69
  5. Step 5: Solve for x
    x = 10,150,643.69/3,290.64
  6. Step 6: Final answer
    x = 3,084.70

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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.