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Finding the Fourth Proportional to 2,735.39, 3,771.54 and 1,896.81

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Solution

The fourth proportional to 2,735.39, 3,771.54 and 1,896.81 is: 2,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.39 : 3,771.54 = 1,896.81 : x
  2. Step 2: Convert to fraction form
    2,735.39/3,771.54 = 1,896.81/x
  3. Step 3: Cross multiply
    2,735.39x = 3,771.54 × 1,896.81
  4. Step 4: Simplify right side
    2,735.39x = 7,153,894.79
  5. Step 5: Solve for x
    x = 7,153,894.79/2,735.39
  6. Step 6: Final answer
    x = 2,615.31

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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.