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Finding the Fourth Proportional to 3,646.49, 5,468.59 and 1,180.80

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Solution

The fourth proportional to 3,646.49, 5,468.59 and 1,180.80 is: 1,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.49 : 5,468.59 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    3,646.49/5,468.59 = 1,180.80/x
  3. Step 3: Cross multiply
    3,646.49x = 5,468.59 × 1,180.80
  4. Step 4: Simplify right side
    3,646.49x = 6,457,305.91
  5. Step 5: Solve for x
    x = 6,457,305.91/3,646.49
  6. Step 6: Final answer
    x = 1,770.83

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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.