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Finding the Fourth Proportional to 2,420.82, 3,341.21 and 1,426.05

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Solution

The fourth proportional to 2,420.82, 3,341.21 and 1,426.05 is: 1,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.82 : 3,341.21 = 1,426.05 : x
  2. Step 2: Convert to fraction form
    2,420.82/3,341.21 = 1,426.05/x
  3. Step 3: Cross multiply
    2,420.82x = 3,341.21 × 1,426.05
  4. Step 4: Simplify right side
    2,420.82x = 4,764,725.39
  5. Step 5: Solve for x
    x = 4,764,725.39/2,420.82
  6. Step 6: Final answer
    x = 1,968.23

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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.