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Finding the Fourth Proportional to 3,020.02, 4,168.07 and 1,693.87

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Solution

The fourth proportional to 3,020.02, 4,168.07 and 1,693.87 is: 2,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.02 : 4,168.07 = 1,693.87 : x
  2. Step 2: Convert to fraction form
    3,020.02/4,168.07 = 1,693.87/x
  3. Step 3: Cross multiply
    3,020.02x = 4,168.07 × 1,693.87
  4. Step 4: Simplify right side
    3,020.02x = 7,060,168.73
  5. Step 5: Solve for x
    x = 7,060,168.73/3,020.02
  6. Step 6: Final answer
    x = 2,337.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.