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Finding the Fourth Proportional to 2,835, 3,912.32 and 1,593

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Solution

The fourth proportional to 2,835, 3,912.32 and 1,593 is: 2,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835 : 3,912.32 = 1,593 : x
  2. Step 2: Convert to fraction form
    2,835/3,912.32 = 1,593/x
  3. Step 3: Cross multiply
    2,835x = 3,912.32 × 1,593
  4. Step 4: Simplify right side
    2,835x = 6,232,325.76
  5. Step 5: Solve for x
    x = 6,232,325.76/2,835
  6. Step 6: Final answer
    x = 2,198.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.