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Finding the Fourth Proportional to 2,420.98, 3,340.81 and 1,426.03

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Solution

The fourth proportional to 2,420.98, 3,340.81 and 1,426.03 is: 1,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.98 : 3,340.81 = 1,426.03 : x
  2. Step 2: Convert to fraction form
    2,420.98/3,340.81 = 1,426.03/x
  3. Step 3: Cross multiply
    2,420.98x = 3,340.81 × 1,426.03
  4. Step 4: Simplify right side
    2,420.98x = 4,764,095.28
  5. Step 5: Solve for x
    x = 4,764,095.28/2,420.98
  6. Step 6: Final answer
    x = 1,967.84

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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.