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Finding the Fourth Proportional to 3,259.04, 4,889.00 and 1,178.49

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Solution

The fourth proportional to 3,259.04, 4,889.00 and 1,178.49 is: 1,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.04 : 4,889.00 = 1,178.49 : x
  2. Step 2: Convert to fraction form
    3,259.04/4,889.00 = 1,178.49/x
  3. Step 3: Cross multiply
    3,259.04x = 4,889.00 × 1,178.49
  4. Step 4: Simplify right side
    3,259.04x = 5,761,640.56
  5. Step 5: Solve for x
    x = 5,761,640.56/3,259.04
  6. Step 6: Final answer
    x = 1,767.89

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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.