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Finding the Fourth Proportional to 2,005.02, 2,765.21 and 1,723.46

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Solution

The fourth proportional to 2,005.02, 2,765.21 and 1,723.46 is: 2,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.02 : 2,765.21 = 1,723.46 : x
  2. Step 2: Convert to fraction form
    2,005.02/2,765.21 = 1,723.46/x
  3. Step 3: Cross multiply
    2,005.02x = 2,765.21 × 1,723.46
  4. Step 4: Simplify right side
    2,005.02x = 4,765,706.38
  5. Step 5: Solve for x
    x = 4,765,706.38/2,005.02
  6. Step 6: Final answer
    x = 2,376.89

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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.