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Finding the Fourth Proportional to 2,800.38, 3,864.06 and 1,621.20

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Solution

The fourth proportional to 2,800.38, 3,864.06 and 1,621.20 is: 2,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.38 : 3,864.06 = 1,621.20 : x
  2. Step 2: Convert to fraction form
    2,800.38/3,864.06 = 1,621.20/x
  3. Step 3: Cross multiply
    2,800.38x = 3,864.06 × 1,621.20
  4. Step 4: Simplify right side
    2,800.38x = 6,264,414.07
  5. Step 5: Solve for x
    x = 6,264,414.07/2,800.38
  6. Step 6: Final answer
    x = 2,236.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.