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Finding the Fourth Proportional to 2,774.86, 4,163.73 and 1,235.50

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Solution

The fourth proportional to 2,774.86, 4,163.73 and 1,235.50 is: 1,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.86 : 4,163.73 = 1,235.50 : x
  2. Step 2: Convert to fraction form
    2,774.86/4,163.73 = 1,235.50/x
  3. Step 3: Cross multiply
    2,774.86x = 4,163.73 × 1,235.50
  4. Step 4: Simplify right side
    2,774.86x = 5,144,288.42
  5. Step 5: Solve for x
    x = 5,144,288.42/2,774.86
  6. Step 6: Final answer
    x = 1,853.89

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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.