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Finding the Fourth Proportional to 1,846, 2,771.75 and 752.50

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Solution

The fourth proportional to 1,846, 2,771.75 and 752.50 is: 1,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846 : 2,771.75 = 752.50 : x
  2. Step 2: Convert to fraction form
    1,846/2,771.75 = 752.50/x
  3. Step 3: Cross multiply
    1,846x = 2,771.75 × 752.50
  4. Step 4: Simplify right side
    1,846x = 2,085,741.88
  5. Step 5: Solve for x
    x = 2,085,741.88/1,846
  6. Step 6: Final answer
    x = 1,129.87

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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.