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Finding the Fourth Proportional to 2,353.11, 3,527.46 and 792.03

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Solution

The fourth proportional to 2,353.11, 3,527.46 and 792.03 is: 1,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.11 : 3,527.46 = 792.03 : x
  2. Step 2: Convert to fraction form
    2,353.11/3,527.46 = 792.03/x
  3. Step 3: Cross multiply
    2,353.11x = 3,527.46 × 792.03
  4. Step 4: Simplify right side
    2,353.11x = 2,793,839.84
  5. Step 5: Solve for x
    x = 2,793,839.84/2,353.11
  6. Step 6: Final answer
    x = 1,187.29

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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.