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Finding the Fourth Proportional to 3,009.13, 4,152.23 and 1,682.62

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Solution

The fourth proportional to 3,009.13, 4,152.23 and 1,682.62 is: 2,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.13 : 4,152.23 = 1,682.62 : x
  2. Step 2: Convert to fraction form
    3,009.13/4,152.23 = 1,682.62/x
  3. Step 3: Cross multiply
    3,009.13x = 4,152.23 × 1,682.62
  4. Step 4: Simplify right side
    3,009.13x = 6,986,616.83
  5. Step 5: Solve for x
    x = 6,986,616.83/3,009.13
  6. Step 6: Final answer
    x = 2,321.81

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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.