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Finding the Fourth Proportional to 2,414.41, 3,589.05 and 2,343.46

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Solution

The fourth proportional to 2,414.41, 3,589.05 and 2,343.46 is: 3,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.41 : 3,589.05 = 2,343.46 : x
  2. Step 2: Convert to fraction form
    2,414.41/3,589.05 = 2,343.46/x
  3. Step 3: Cross multiply
    2,414.41x = 3,589.05 × 2,343.46
  4. Step 4: Simplify right side
    2,414.41x = 8,410,795.11
  5. Step 5: Solve for x
    x = 8,410,795.11/2,414.41
  6. Step 6: Final answer
    x = 3,483.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.