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Finding the Fourth Proportional to 2,468.43, 3,406.44 and 1,420.50

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Solution

The fourth proportional to 2,468.43, 3,406.44 and 1,420.50 is: 1,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.43 : 3,406.44 = 1,420.50 : x
  2. Step 2: Convert to fraction form
    2,468.43/3,406.44 = 1,420.50/x
  3. Step 3: Cross multiply
    2,468.43x = 3,406.44 × 1,420.50
  4. Step 4: Simplify right side
    2,468.43x = 4,838,848.02
  5. Step 5: Solve for x
    x = 4,838,848.02/2,468.43
  6. Step 6: Final answer
    x = 1,960.29

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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.