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Finding the Fourth Proportional to 3,343.68, 4,612.74 and 2,165.13

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Solution

The fourth proportional to 3,343.68, 4,612.74 and 2,165.13 is: 2,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.68 : 4,612.74 = 2,165.13 : x
  2. Step 2: Convert to fraction form
    3,343.68/4,612.74 = 2,165.13/x
  3. Step 3: Cross multiply
    3,343.68x = 4,612.74 × 2,165.13
  4. Step 4: Simplify right side
    3,343.68x = 9,987,181.76
  5. Step 5: Solve for x
    x = 9,987,181.76/3,343.68
  6. Step 6: Final answer
    x = 2,986.88

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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.