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Finding the Fourth Proportional to 2,021.30, 2,725.88 and 2,021.30

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Solution

The fourth proportional to 2,021.30, 2,725.88 and 2,021.30 is: 2,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.30 : 2,725.88 = 2,021.30 : x
  2. Step 2: Convert to fraction form
    2,021.30/2,725.88 = 2,021.30/x
  3. Step 3: Cross multiply
    2,021.30x = 2,725.88 × 2,021.30
  4. Step 4: Simplify right side
    2,021.30x = 5,509,811.14
  5. Step 5: Solve for x
    x = 5,509,811.14/2,021.30
  6. Step 6: Final answer
    x = 2,725.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.