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Finding the Fourth Proportional to 2,539.71, 3,504.60 and 1,420.56

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Solution

The fourth proportional to 2,539.71, 3,504.60 and 1,420.56 is: 1,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.71 : 3,504.60 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    2,539.71/3,504.60 = 1,420.56/x
  3. Step 3: Cross multiply
    2,539.71x = 3,504.60 × 1,420.56
  4. Step 4: Simplify right side
    2,539.71x = 4,978,494.58
  5. Step 5: Solve for x
    x = 4,978,494.58/2,539.71
  6. Step 6: Final answer
    x = 1,960.26

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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.