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Finding the Fourth Proportional to 2,713.76, 3,745 and 1,471.76

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Solution

The fourth proportional to 2,713.76, 3,745 and 1,471.76 is: 2,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.76 : 3,745 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    2,713.76/3,745 = 1,471.76/x
  3. Step 3: Cross multiply
    2,713.76x = 3,745 × 1,471.76
  4. Step 4: Simplify right side
    2,713.76x = 5,511,741.20
  5. Step 5: Solve for x
    x = 5,511,741.20/2,713.76
  6. Step 6: Final answer
    x = 2,031.03

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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.