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Finding the Fourth Proportional to 2,713.10, 4,063.16 and 1,477.44

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Solution

The fourth proportional to 2,713.10, 4,063.16 and 1,477.44 is: 2,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.10 : 4,063.16 = 1,477.44 : x
  2. Step 2: Convert to fraction form
    2,713.10/4,063.16 = 1,477.44/x
  3. Step 3: Cross multiply
    2,713.10x = 4,063.16 × 1,477.44
  4. Step 4: Simplify right side
    2,713.10x = 6,003,067.72
  5. Step 5: Solve for x
    x = 6,003,067.72/2,713.10
  6. Step 6: Final answer
    x = 2,212.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.