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Finding the Fourth Proportional to 2,539.58, 3,804.24 and 1,989.14

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Solution

The fourth proportional to 2,539.58, 3,804.24 and 1,989.14 is: 2,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.58 : 3,804.24 = 1,989.14 : x
  2. Step 2: Convert to fraction form
    2,539.58/3,804.24 = 1,989.14/x
  3. Step 3: Cross multiply
    2,539.58x = 3,804.24 × 1,989.14
  4. Step 4: Simplify right side
    2,539.58x = 7,567,165.95
  5. Step 5: Solve for x
    x = 7,567,165.95/2,539.58
  6. Step 6: Final answer
    x = 2,979.69

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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.