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Finding the Fourth Proportional to 2,037, 3,055.50 and 821

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Solution

The fourth proportional to 2,037, 3,055.50 and 821 is: 1,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 3,055.50 = 821 : x
  2. Step 2: Convert to fraction form
    2,037/3,055.50 = 821/x
  3. Step 3: Cross multiply
    2,037x = 3,055.50 × 821
  4. Step 4: Simplify right side
    2,037x = 2,508,565.50
  5. Step 5: Solve for x
    x = 2,508,565.50/2,037
  6. Step 6: Final answer
    x = 1,231.50

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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.