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Finding the Fourth Proportional to 3,343.56, 4,612.57 and 2,165.01

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Solution

The fourth proportional to 3,343.56, 4,612.57 and 2,165.01 is: 2,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.56 : 4,612.57 = 2,165.01 : x
  2. Step 2: Convert to fraction form
    3,343.56/4,612.57 = 2,165.01/x
  3. Step 3: Cross multiply
    3,343.56x = 4,612.57 × 2,165.01
  4. Step 4: Simplify right side
    3,343.56x = 9,986,260.18
  5. Step 5: Solve for x
    x = 9,986,260.18/3,343.56
  6. Step 6: Final answer
    x = 2,986.71

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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.