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Finding the Fourth Proportional to 2,151.36, 3,225 and 851.88

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Solution

The fourth proportional to 2,151.36, 3,225 and 851.88 is: 1,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.36 : 3,225 = 851.88 : x
  2. Step 2: Convert to fraction form
    2,151.36/3,225 = 851.88/x
  3. Step 3: Cross multiply
    2,151.36x = 3,225 × 851.88
  4. Step 4: Simplify right side
    2,151.36x = 2,747,313
  5. Step 5: Solve for x
    x = 2,747,313/2,151.36
  6. Step 6: Final answer
    x = 1,277.01

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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.