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Finding the Fourth Proportional to 2,344.20, 3,516.32 and 612.80

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Solution

The fourth proportional to 2,344.20, 3,516.32 and 612.80 is: 919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.20 : 3,516.32 = 612.80 : x
  2. Step 2: Convert to fraction form
    2,344.20/3,516.32 = 612.80/x
  3. Step 3: Cross multiply
    2,344.20x = 3,516.32 × 612.80
  4. Step 4: Simplify right side
    2,344.20x = 2,154,800.90
  5. Step 5: Solve for x
    x = 2,154,800.90/2,344.20
  6. Step 6: Final answer
    x = 919.21

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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.