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Finding the Fourth Proportional to 2,820.39, 3,892.20 and 1,827.40

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Solution

The fourth proportional to 2,820.39, 3,892.20 and 1,827.40 is: 2,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.39 : 3,892.20 = 1,827.40 : x
  2. Step 2: Convert to fraction form
    2,820.39/3,892.20 = 1,827.40/x
  3. Step 3: Cross multiply
    2,820.39x = 3,892.20 × 1,827.40
  4. Step 4: Simplify right side
    2,820.39x = 7,112,606.28
  5. Step 5: Solve for x
    x = 7,112,606.28/2,820.39
  6. Step 6: Final answer
    x = 2,521.85

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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.