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Finding the Fourth Proportional to 2,334.15, 3,497.58 and 1,967.22

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Solution

The fourth proportional to 2,334.15, 3,497.58 and 1,967.22 is: 2,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.15 : 3,497.58 = 1,967.22 : x
  2. Step 2: Convert to fraction form
    2,334.15/3,497.58 = 1,967.22/x
  3. Step 3: Cross multiply
    2,334.15x = 3,497.58 × 1,967.22
  4. Step 4: Simplify right side
    2,334.15x = 6,880,509.33
  5. Step 5: Solve for x
    x = 6,880,509.33/2,334.15
  6. Step 6: Final answer
    x = 2,947.76

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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.