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Finding the Fourth Proportional to 2,666.54, 3,999.80 and 2,082.03

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Solution

The fourth proportional to 2,666.54, 3,999.80 and 2,082.03 is: 3,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.54 : 3,999.80 = 2,082.03 : x
  2. Step 2: Convert to fraction form
    2,666.54/3,999.80 = 2,082.03/x
  3. Step 3: Cross multiply
    2,666.54x = 3,999.80 × 2,082.03
  4. Step 4: Simplify right side
    2,666.54x = 8,327,693.18
  5. Step 5: Solve for x
    x = 8,327,693.18/2,666.54
  6. Step 6: Final answer
    x = 3,123.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.