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Finding the Fourth Proportional to 3,146.44, 4,342.86 and 1,819.95

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Solution

The fourth proportional to 3,146.44, 4,342.86 and 1,819.95 is: 2,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.44 : 4,342.86 = 1,819.95 : x
  2. Step 2: Convert to fraction form
    3,146.44/4,342.86 = 1,819.95/x
  3. Step 3: Cross multiply
    3,146.44x = 4,342.86 × 1,819.95
  4. Step 4: Simplify right side
    3,146.44x = 7,903,788.06
  5. Step 5: Solve for x
    x = 7,903,788.06/3,146.44
  6. Step 6: Final answer
    x = 2,511.98

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Why These Related Problems?

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