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Finding the Fourth Proportional to 2,150.38, 2,967.42 and 1,402.89

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Solution

The fourth proportional to 2,150.38, 2,967.42 and 1,402.89 is: 1,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.38 : 2,967.42 = 1,402.89 : x
  2. Step 2: Convert to fraction form
    2,150.38/2,967.42 = 1,402.89/x
  3. Step 3: Cross multiply
    2,150.38x = 2,967.42 × 1,402.89
  4. Step 4: Simplify right side
    2,150.38x = 4,162,949.01
  5. Step 5: Solve for x
    x = 4,162,949.01/2,150.38
  6. Step 6: Final answer
    x = 1,935.91

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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.