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Finding the Fourth Proportional to 2,967.54, 4,451.26 and 1,212.16

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Solution

The fourth proportional to 2,967.54, 4,451.26 and 1,212.16 is: 1,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.54 : 4,451.26 = 1,212.16 : x
  2. Step 2: Convert to fraction form
    2,967.54/4,451.26 = 1,212.16/x
  3. Step 3: Cross multiply
    2,967.54x = 4,451.26 × 1,212.16
  4. Step 4: Simplify right side
    2,967.54x = 5,395,628.19
  5. Step 5: Solve for x
    x = 5,395,628.19/2,967.54
  6. Step 6: Final answer
    x = 1,818.22

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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.