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Finding the Fourth Proportional to 2,041.79, 3,062.33 and 792.20

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Solution

The fourth proportional to 2,041.79, 3,062.33 and 792.20 is: 1,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.79 : 3,062.33 = 792.20 : x
  2. Step 2: Convert to fraction form
    2,041.79/3,062.33 = 792.20/x
  3. Step 3: Cross multiply
    2,041.79x = 3,062.33 × 792.20
  4. Step 4: Simplify right side
    2,041.79x = 2,425,958.55
  5. Step 5: Solve for x
    x = 2,425,958.55/2,041.79
  6. Step 6: Final answer
    x = 1,188.16

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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.