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Finding the Fourth Proportional to 2,019.72, 2,786.94 and 1,135.38

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Solution

The fourth proportional to 2,019.72, 2,786.94 and 1,135.38 is: 1,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 2,786.94 = 1,135.38 : x
  2. Step 2: Convert to fraction form
    2,019.72/2,786.94 = 1,135.38/x
  3. Step 3: Cross multiply
    2,019.72x = 2,786.94 × 1,135.38
  4. Step 4: Simplify right side
    2,019.72x = 3,164,235.94
  5. Step 5: Solve for x
    x = 3,164,235.94/2,019.72
  6. Step 6: Final answer
    x = 1,566.67

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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.