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Finding the Fourth Proportional to 3,259.16, 4,889.12 and 1,180.14

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Solution

The fourth proportional to 3,259.16, 4,889.12 and 1,180.14 is: 1,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.16 : 4,889.12 = 1,180.14 : x
  2. Step 2: Convert to fraction form
    3,259.16/4,889.12 = 1,180.14/x
  3. Step 3: Cross multiply
    3,259.16x = 4,889.12 × 1,180.14
  4. Step 4: Simplify right side
    3,259.16x = 5,769,855.35
  5. Step 5: Solve for x
    x = 5,769,855.35/3,259.16
  6. Step 6: Final answer
    x = 1,770.35

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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.