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Finding the Fourth Proportional to 2,832.84, 4,246.22 and 1,369.98

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Solution

The fourth proportional to 2,832.84, 4,246.22 and 1,369.98 is: 2,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.84 : 4,246.22 = 1,369.98 : x
  2. Step 2: Convert to fraction form
    2,832.84/4,246.22 = 1,369.98/x
  3. Step 3: Cross multiply
    2,832.84x = 4,246.22 × 1,369.98
  4. Step 4: Simplify right side
    2,832.84x = 5,817,239.90
  5. Step 5: Solve for x
    x = 5,817,239.90/2,832.84
  6. Step 6: Final answer
    x = 2,053.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.