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Finding the Fourth Proportional to 2,896.98, 4,347.05 and 1,230.84

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Solution

The fourth proportional to 2,896.98, 4,347.05 and 1,230.84 is: 1,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.98 : 4,347.05 = 1,230.84 : x
  2. Step 2: Convert to fraction form
    2,896.98/4,347.05 = 1,230.84/x
  3. Step 3: Cross multiply
    2,896.98x = 4,347.05 × 1,230.84
  4. Step 4: Simplify right side
    2,896.98x = 5,350,516.87
  5. Step 5: Solve for x
    x = 5,350,516.87/2,896.98
  6. Step 6: Final answer
    x = 1,846.93

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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.