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Finding the Fourth Proportional to 3,046.69, 4,204.52 and 1,868.95

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Solution

The fourth proportional to 3,046.69, 4,204.52 and 1,868.95 is: 2,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.69 : 4,204.52 = 1,868.95 : x
  2. Step 2: Convert to fraction form
    3,046.69/4,204.52 = 1,868.95/x
  3. Step 3: Cross multiply
    3,046.69x = 4,204.52 × 1,868.95
  4. Step 4: Simplify right side
    3,046.69x = 7,858,021.30
  5. Step 5: Solve for x
    x = 7,858,021.30/3,046.69
  6. Step 6: Final answer
    x = 2,579.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.