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Finding the Fourth Proportional to 3,046.05, 4,567.30 and 1,195

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Solution

The fourth proportional to 3,046.05, 4,567.30 and 1,195 is: 1,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.05 : 4,567.30 = 1,195 : x
  2. Step 2: Convert to fraction form
    3,046.05/4,567.30 = 1,195/x
  3. Step 3: Cross multiply
    3,046.05x = 4,567.30 × 1,195
  4. Step 4: Simplify right side
    3,046.05x = 5,457,923.50
  5. Step 5: Solve for x
    x = 5,457,923.50/3,046.05
  6. Step 6: Final answer
    x = 1,791.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.