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Finding the Fourth Proportional to 2,853.74, 4,277.36 and 1,311.50

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Solution

The fourth proportional to 2,853.74, 4,277.36 and 1,311.50 is: 1,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.74 : 4,277.36 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    2,853.74/4,277.36 = 1,311.50/x
  3. Step 3: Cross multiply
    2,853.74x = 4,277.36 × 1,311.50
  4. Step 4: Simplify right side
    2,853.74x = 5,609,757.64
  5. Step 5: Solve for x
    x = 5,609,757.64/2,853.74
  6. Step 6: Final answer
    x = 1,965.76

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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.