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Finding the Fourth Proportional to 2,539.75, 3,504.69 and 1,420.49

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Solution

The fourth proportional to 2,539.75, 3,504.69 and 1,420.49 is: 1,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.75 : 3,504.69 = 1,420.49 : x
  2. Step 2: Convert to fraction form
    2,539.75/3,504.69 = 1,420.49/x
  3. Step 3: Cross multiply
    2,539.75x = 3,504.69 × 1,420.49
  4. Step 4: Simplify right side
    2,539.75x = 4,978,373.96
  5. Step 5: Solve for x
    x = 4,978,373.96/2,539.75
  6. Step 6: Final answer
    x = 1,960.19

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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.