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Finding the Fourth Proportional to 2,684.32, 3,700.56 and 2,021.92

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Solution

The fourth proportional to 2,684.32, 3,700.56 and 2,021.92 is: 2,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.32 : 3,700.56 = 2,021.92 : x
  2. Step 2: Convert to fraction form
    2,684.32/3,700.56 = 2,021.92/x
  3. Step 3: Cross multiply
    2,684.32x = 3,700.56 × 2,021.92
  4. Step 4: Simplify right side
    2,684.32x = 7,482,236.28
  5. Step 5: Solve for x
    x = 7,482,236.28/2,684.32
  6. Step 6: Final answer
    x = 2,787.39

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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.