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Finding the Fourth Proportional to 2,539.01, 3,802.61 and 2,468.95

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Solution

The fourth proportional to 2,539.01, 3,802.61 and 2,468.95 is: 3,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.01 : 3,802.61 = 2,468.95 : x
  2. Step 2: Convert to fraction form
    2,539.01/3,802.61 = 2,468.95/x
  3. Step 3: Cross multiply
    2,539.01x = 3,802.61 × 2,468.95
  4. Step 4: Simplify right side
    2,539.01x = 9,388,453.96
  5. Step 5: Solve for x
    x = 9,388,453.96/2,539.01
  6. Step 6: Final answer
    x = 3,697.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.