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Finding the Fourth Proportional to 2,194.76, 3,293.25 and 1,271.16

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Solution

The fourth proportional to 2,194.76, 3,293.25 and 1,271.16 is: 1,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,293.25 = 1,271.16 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,293.25 = 1,271.16/x
  3. Step 3: Cross multiply
    2,194.76x = 3,293.25 × 1,271.16
  4. Step 4: Simplify right side
    2,194.76x = 4,186,231.20
  5. Step 5: Solve for x
    x = 4,186,231.20/2,194.76
  6. Step 6: Final answer
    x = 1,907.38

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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.