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Finding the Fourth Proportional to 2,539.45, 3,809.04 and 807.94

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Solution

The fourth proportional to 2,539.45, 3,809.04 and 807.94 is: 1,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.45 : 3,809.04 = 807.94 : x
  2. Step 2: Convert to fraction form
    2,539.45/3,809.04 = 807.94/x
  3. Step 3: Cross multiply
    2,539.45x = 3,809.04 × 807.94
  4. Step 4: Simplify right side
    2,539.45x = 3,077,475.78
  5. Step 5: Solve for x
    x = 3,077,475.78/2,539.45
  6. Step 6: Final answer
    x = 1,211.87

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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.