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Finding the Fourth Proportional to 3,146.45, 4,711.41 and 2,216.97

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Solution

The fourth proportional to 3,146.45, 4,711.41 and 2,216.97 is: 3,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.45 : 4,711.41 = 2,216.97 : x
  2. Step 2: Convert to fraction form
    3,146.45/4,711.41 = 2,216.97/x
  3. Step 3: Cross multiply
    3,146.45x = 4,711.41 × 2,216.97
  4. Step 4: Simplify right side
    3,146.45x = 10,445,054.63
  5. Step 5: Solve for x
    x = 10,445,054.63/3,146.45
  6. Step 6: Final answer
    x = 3,319.64

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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.