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Finding the Fourth Proportional to 2,734.41, 3,772.84 and 1,556.13

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Solution

The fourth proportional to 2,734.41, 3,772.84 and 1,556.13 is: 2,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.41 : 3,772.84 = 1,556.13 : x
  2. Step 2: Convert to fraction form
    2,734.41/3,772.84 = 1,556.13/x
  3. Step 3: Cross multiply
    2,734.41x = 3,772.84 × 1,556.13
  4. Step 4: Simplify right side
    2,734.41x = 5,871,029.51
  5. Step 5: Solve for x
    x = 5,871,029.51/2,734.41
  6. Step 6: Final answer
    x = 2,147.09

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