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Finding the Fourth Proportional to 4,631.90, 6,947.19 and 1,511.96

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Solution

The fourth proportional to 4,631.90, 6,947.19 and 1,511.96 is: 2,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.90 : 6,947.19 = 1,511.96 : x
  2. Step 2: Convert to fraction form
    4,631.90/6,947.19 = 1,511.96/x
  3. Step 3: Cross multiply
    4,631.90x = 6,947.19 × 1,511.96
  4. Step 4: Simplify right side
    4,631.90x = 10,503,838.66
  5. Step 5: Solve for x
    x = 10,503,838.66/4,631.90
  6. Step 6: Final answer
    x = 2,267.72

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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.