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Finding the Fourth Proportional to 1,693.75, 2,337.42 and 1,105.33

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Solution

The fourth proportional to 1,693.75, 2,337.42 and 1,105.33 is: 1,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.75 : 2,337.42 = 1,105.33 : x
  2. Step 2: Convert to fraction form
    1,693.75/2,337.42 = 1,105.33/x
  3. Step 3: Cross multiply
    1,693.75x = 2,337.42 × 1,105.33
  4. Step 4: Simplify right side
    1,693.75x = 2,583,620.45
  5. Step 5: Solve for x
    x = 2,583,620.45/1,693.75
  6. Step 6: Final answer
    x = 1,525.38

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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.