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Finding the Fourth Proportional to 2,051.92, 3,074.91 and 1,397.44

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Solution

The fourth proportional to 2,051.92, 3,074.91 and 1,397.44 is: 2,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.92 : 3,074.91 = 1,397.44 : x
  2. Step 2: Convert to fraction form
    2,051.92/3,074.91 = 1,397.44/x
  3. Step 3: Cross multiply
    2,051.92x = 3,074.91 × 1,397.44
  4. Step 4: Simplify right side
    2,051.92x = 4,297,002.23
  5. Step 5: Solve for x
    x = 4,297,002.23/2,051.92
  6. Step 6: Final answer
    x = 2,094.14

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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.