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Finding the Fourth Proportional to 2,539.69, 3,504.31 and 1,420.64

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Solution

The fourth proportional to 2,539.69, 3,504.31 and 1,420.64 is: 1,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.69 : 3,504.31 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    2,539.69/3,504.31 = 1,420.64/x
  3. Step 3: Cross multiply
    2,539.69x = 3,504.31 × 1,420.64
  4. Step 4: Simplify right side
    2,539.69x = 4,978,363.02
  5. Step 5: Solve for x
    x = 4,978,363.02/2,539.69
  6. Step 6: Final answer
    x = 1,960.23

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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.