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Finding the Fourth Proportional to 2,324.80, 3,480.80 and 1,812.80

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Solution

The fourth proportional to 2,324.80, 3,480.80 and 1,812.80 is: 2,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.80 : 3,480.80 = 1,812.80 : x
  2. Step 2: Convert to fraction form
    2,324.80/3,480.80 = 1,812.80/x
  3. Step 3: Cross multiply
    2,324.80x = 3,480.80 × 1,812.80
  4. Step 4: Simplify right side
    2,324.80x = 6,309,994.24
  5. Step 5: Solve for x
    x = 6,309,994.24/2,324.80
  6. Step 6: Final answer
    x = 2,714.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.