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Finding the Fourth Proportional to 2,539.44, 3,504.47 and 1,420.43

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Solution

The fourth proportional to 2,539.44, 3,504.47 and 1,420.43 is: 1,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.44 : 3,504.47 = 1,420.43 : x
  2. Step 2: Convert to fraction form
    2,539.44/3,504.47 = 1,420.43/x
  3. Step 3: Cross multiply
    2,539.44x = 3,504.47 × 1,420.43
  4. Step 4: Simplify right side
    2,539.44x = 4,977,829.70
  5. Step 5: Solve for x
    x = 4,977,829.70/2,539.44
  6. Step 6: Final answer
    x = 1,960.21

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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.