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Finding the Fourth Proportional to 2,846.85, 4,269.66 and 897.99

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Solution

The fourth proportional to 2,846.85, 4,269.66 and 897.99 is: 1,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.85 : 4,269.66 = 897.99 : x
  2. Step 2: Convert to fraction form
    2,846.85/4,269.66 = 897.99/x
  3. Step 3: Cross multiply
    2,846.85x = 4,269.66 × 897.99
  4. Step 4: Simplify right side
    2,846.85x = 3,834,111.98
  5. Step 5: Solve for x
    x = 3,834,111.98/2,846.85
  6. Step 6: Final answer
    x = 1,346.79

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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.