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Finding the Fourth Proportional to 2,150.28, 2,967.89 and 1,402.94

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Solution

The fourth proportional to 2,150.28, 2,967.89 and 1,402.94 is: 1,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.28 : 2,967.89 = 1,402.94 : x
  2. Step 2: Convert to fraction form
    2,150.28/2,967.89 = 1,402.94/x
  3. Step 3: Cross multiply
    2,150.28x = 2,967.89 × 1,402.94
  4. Step 4: Simplify right side
    2,150.28x = 4,163,771.60
  5. Step 5: Solve for x
    x = 4,163,771.60/2,150.28
  6. Step 6: Final answer
    x = 1,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.