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Finding the Fourth Proportional to 1,958.08, 2,938.57 and 788.09

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Solution

The fourth proportional to 1,958.08, 2,938.57 and 788.09 is: 1,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.08 : 2,938.57 = 788.09 : x
  2. Step 2: Convert to fraction form
    1,958.08/2,938.57 = 788.09/x
  3. Step 3: Cross multiply
    1,958.08x = 2,938.57 × 788.09
  4. Step 4: Simplify right side
    1,958.08x = 2,315,856.42
  5. Step 5: Solve for x
    x = 2,315,856.42/1,958.08
  6. Step 6: Final answer
    x = 1,182.72

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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.