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Finding the Fourth Proportional to 2,064.76, 3,093.10 and 1,369.36

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Solution

The fourth proportional to 2,064.76, 3,093.10 and 1,369.36 is: 2,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.76 : 3,093.10 = 1,369.36 : x
  2. Step 2: Convert to fraction form
    2,064.76/3,093.10 = 1,369.36/x
  3. Step 3: Cross multiply
    2,064.76x = 3,093.10 × 1,369.36
  4. Step 4: Simplify right side
    2,064.76x = 4,235,567.42
  5. Step 5: Solve for x
    x = 4,235,567.42/2,064.76
  6. Step 6: Final answer
    x = 2,051.36

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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.