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Finding the Fourth Proportional to 2,171, 3,256.50 and 803

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Solution

The fourth proportional to 2,171, 3,256.50 and 803 is: 1,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 3,256.50 = 803 : x
  2. Step 2: Convert to fraction form
    2,171/3,256.50 = 803/x
  3. Step 3: Cross multiply
    2,171x = 3,256.50 × 803
  4. Step 4: Simplify right side
    2,171x = 2,614,969.50
  5. Step 5: Solve for x
    x = 2,614,969.50/2,171
  6. Step 6: Final answer
    x = 1,204.50

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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.