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Finding the Fourth Proportional to 2,150.22, 2,967.96 and 1,402.86

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Solution

The fourth proportional to 2,150.22, 2,967.96 and 1,402.86 is: 1,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.22 : 2,967.96 = 1,402.86 : x
  2. Step 2: Convert to fraction form
    2,150.22/2,967.96 = 1,402.86/x
  3. Step 3: Cross multiply
    2,150.22x = 2,967.96 × 1,402.86
  4. Step 4: Simplify right side
    2,150.22x = 4,163,632.37
  5. Step 5: Solve for x
    x = 4,163,632.37/2,150.22
  6. Step 6: Final answer
    x = 1,936.38

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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.