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Finding the Fourth Proportional to 2,293.60, 3,186.16 and 2,212.60

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Solution

The fourth proportional to 2,293.60, 3,186.16 and 2,212.60 is: 3,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.60 : 3,186.16 = 2,212.60 : x
  2. Step 2: Convert to fraction form
    2,293.60/3,186.16 = 2,212.60/x
  3. Step 3: Cross multiply
    2,293.60x = 3,186.16 × 2,212.60
  4. Step 4: Simplify right side
    2,293.60x = 7,049,697.62
  5. Step 5: Solve for x
    x = 7,049,697.62/2,293.60
  6. Step 6: Final answer
    x = 3,073.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.