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Finding the Fourth Proportional to 2,889.15, 4,332.95 and 809.02

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Solution

The fourth proportional to 2,889.15, 4,332.95 and 809.02 is: 1,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.15 : 4,332.95 = 809.02 : x
  2. Step 2: Convert to fraction form
    2,889.15/4,332.95 = 809.02/x
  3. Step 3: Cross multiply
    2,889.15x = 4,332.95 × 809.02
  4. Step 4: Simplify right side
    2,889.15x = 3,505,443.21
  5. Step 5: Solve for x
    x = 3,505,443.21/2,889.15
  6. Step 6: Final answer
    x = 1,213.31

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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.