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Finding the Fourth Proportional to 2,236.34, 3,352.46 and 775.16

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Solution

The fourth proportional to 2,236.34, 3,352.46 and 775.16 is: 1,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.34 : 3,352.46 = 775.16 : x
  2. Step 2: Convert to fraction form
    2,236.34/3,352.46 = 775.16/x
  3. Step 3: Cross multiply
    2,236.34x = 3,352.46 × 775.16
  4. Step 4: Simplify right side
    2,236.34x = 2,598,692.89
  5. Step 5: Solve for x
    x = 2,598,692.89/2,236.34
  6. Step 6: Final answer
    x = 1,162.03

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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.