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Finding the Fourth Proportional to 2,935, 4,050.42 and 1,693

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Solution

The fourth proportional to 2,935, 4,050.42 and 1,693 is: 2,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935 : 4,050.42 = 1,693 : x
  2. Step 2: Convert to fraction form
    2,935/4,050.42 = 1,693/x
  3. Step 3: Cross multiply
    2,935x = 4,050.42 × 1,693
  4. Step 4: Simplify right side
    2,935x = 6,857,361.06
  5. Step 5: Solve for x
    x = 6,857,361.06/2,935
  6. Step 6: Final answer
    x = 2,336.41

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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.