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Finding the Fourth Proportional to 3,262.55, 4,894.31 and 1,182.33

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Solution

The fourth proportional to 3,262.55, 4,894.31 and 1,182.33 is: 1,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.55 : 4,894.31 = 1,182.33 : x
  2. Step 2: Convert to fraction form
    3,262.55/4,894.31 = 1,182.33/x
  3. Step 3: Cross multiply
    3,262.55x = 4,894.31 × 1,182.33
  4. Step 4: Simplify right side
    3,262.55x = 5,786,692.50
  5. Step 5: Solve for x
    x = 5,786,692.50/3,262.55
  6. Step 6: Final answer
    x = 1,773.67

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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.