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Finding the Fourth Proportional to 2,539.86, 3,809.06 and 979.76

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Solution

The fourth proportional to 2,539.86, 3,809.06 and 979.76 is: 1,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.86 : 3,809.06 = 979.76 : x
  2. Step 2: Convert to fraction form
    2,539.86/3,809.06 = 979.76/x
  3. Step 3: Cross multiply
    2,539.86x = 3,809.06 × 979.76
  4. Step 4: Simplify right side
    2,539.86x = 3,731,964.63
  5. Step 5: Solve for x
    x = 3,731,964.63/2,539.86
  6. Step 6: Final answer
    x = 1,469.36

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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.