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Finding the Fourth Proportional to 2,809.46, 4,219.65 and 2,289.84

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Solution

The fourth proportional to 2,809.46, 4,219.65 and 2,289.84 is: 3,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.46 : 4,219.65 = 2,289.84 : x
  2. Step 2: Convert to fraction form
    2,809.46/4,219.65 = 2,289.84/x
  3. Step 3: Cross multiply
    2,809.46x = 4,219.65 × 2,289.84
  4. Step 4: Simplify right side
    2,809.46x = 9,662,323.36
  5. Step 5: Solve for x
    x = 9,662,323.36/2,809.46
  6. Step 6: Final answer
    x = 3,439.22

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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.