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Finding the Fourth Proportional to 2,735.14, 3,774.81 and 1,556.39

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Solution

The fourth proportional to 2,735.14, 3,774.81 and 1,556.39 is: 2,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.14 : 3,774.81 = 1,556.39 : x
  2. Step 2: Convert to fraction form
    2,735.14/3,774.81 = 1,556.39/x
  3. Step 3: Cross multiply
    2,735.14x = 3,774.81 × 1,556.39
  4. Step 4: Simplify right side
    2,735.14x = 5,875,076.54
  5. Step 5: Solve for x
    x = 5,875,076.54/2,735.14
  6. Step 6: Final answer
    x = 2,148.00

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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.