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Finding the Fourth Proportional to 2,912.74, 4,370.26 and 1,063.98

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Solution

The fourth proportional to 2,912.74, 4,370.26 and 1,063.98 is: 1,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.74 : 4,370.26 = 1,063.98 : x
  2. Step 2: Convert to fraction form
    2,912.74/4,370.26 = 1,063.98/x
  3. Step 3: Cross multiply
    2,912.74x = 4,370.26 × 1,063.98
  4. Step 4: Simplify right side
    2,912.74x = 4,649,869.23
  5. Step 5: Solve for x
    x = 4,649,869.23/2,912.74
  6. Step 6: Final answer
    x = 1,596.39

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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.