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Finding the Fourth Proportional to 2,713.75, 3,745.04 and 1,534.79

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Solution

The fourth proportional to 2,713.75, 3,745.04 and 1,534.79 is: 2,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.75 : 3,745.04 = 1,534.79 : x
  2. Step 2: Convert to fraction form
    2,713.75/3,745.04 = 1,534.79/x
  3. Step 3: Cross multiply
    2,713.75x = 3,745.04 × 1,534.79
  4. Step 4: Simplify right side
    2,713.75x = 5,747,851.63
  5. Step 5: Solve for x
    x = 5,747,851.63/2,713.75
  6. Step 6: Final answer
    x = 2,118.05

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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.