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Finding the Fourth Proportional to 3,121.64, 4,680.63 and 2,254.13

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Solution

The fourth proportional to 3,121.64, 4,680.63 and 2,254.13 is: 3,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.64 : 4,680.63 = 2,254.13 : x
  2. Step 2: Convert to fraction form
    3,121.64/4,680.63 = 2,254.13/x
  3. Step 3: Cross multiply
    3,121.64x = 4,680.63 × 2,254.13
  4. Step 4: Simplify right side
    3,121.64x = 10,550,725.10
  5. Step 5: Solve for x
    x = 10,550,725.10/3,121.64
  6. Step 6: Final answer
    x = 3,379.87

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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.