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Finding the Fourth Proportional to 2,889.49, 4,334.23 and 1,159.33

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Solution

The fourth proportional to 2,889.49, 4,334.23 and 1,159.33 is: 1,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.49 : 4,334.23 = 1,159.33 : x
  2. Step 2: Convert to fraction form
    2,889.49/4,334.23 = 1,159.33/x
  3. Step 3: Cross multiply
    2,889.49x = 4,334.23 × 1,159.33
  4. Step 4: Simplify right side
    2,889.49x = 5,024,793.48
  5. Step 5: Solve for x
    x = 5,024,793.48/2,889.49
  6. Step 6: Final answer
    x = 1,738.99

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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.