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Finding the Fourth Proportional to 2,539.82, 3,499.68 and 2,374.22

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Solution

The fourth proportional to 2,539.82, 3,499.68 and 2,374.22 is: 3,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.82 : 3,499.68 = 2,374.22 : x
  2. Step 2: Convert to fraction form
    2,539.82/3,499.68 = 2,374.22/x
  3. Step 3: Cross multiply
    2,539.82x = 3,499.68 × 2,374.22
  4. Step 4: Simplify right side
    2,539.82x = 8,309,010.25
  5. Step 5: Solve for x
    x = 8,309,010.25/2,539.82
  6. Step 6: Final answer
    x = 3,271.50

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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.