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Finding the Fourth Proportional to 1,958.89, 2,944.07 and 1,631.92

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Solution

The fourth proportional to 1,958.89, 2,944.07 and 1,631.92 is: 2,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.89 : 2,944.07 = 1,631.92 : x
  2. Step 2: Convert to fraction form
    1,958.89/2,944.07 = 1,631.92/x
  3. Step 3: Cross multiply
    1,958.89x = 2,944.07 × 1,631.92
  4. Step 4: Simplify right side
    1,958.89x = 4,804,486.71
  5. Step 5: Solve for x
    x = 4,804,486.71/1,958.89
  6. Step 6: Final answer
    x = 2,452.66

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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.