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Finding the Fourth Proportional to 3,293.10, 4,940.28 and 1,319.22

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Solution

The fourth proportional to 3,293.10, 4,940.28 and 1,319.22 is: 1,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.10 : 4,940.28 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    3,293.10/4,940.28 = 1,319.22/x
  3. Step 3: Cross multiply
    3,293.10x = 4,940.28 × 1,319.22
  4. Step 4: Simplify right side
    3,293.10x = 6,517,316.18
  5. Step 5: Solve for x
    x = 6,517,316.18/3,293.10
  6. Step 6: Final answer
    x = 1,979.08

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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.