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Finding the Fourth Proportional to 2,826.98, 4,243.02 and 1,511.84

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Solution

The fourth proportional to 2,826.98, 4,243.02 and 1,511.84 is: 2,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.98 : 4,243.02 = 1,511.84 : x
  2. Step 2: Convert to fraction form
    2,826.98/4,243.02 = 1,511.84/x
  3. Step 3: Cross multiply
    2,826.98x = 4,243.02 × 1,511.84
  4. Step 4: Simplify right side
    2,826.98x = 6,414,746.14
  5. Step 5: Solve for x
    x = 6,414,746.14/2,826.98
  6. Step 6: Final answer
    x = 2,269.12

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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.