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Finding the Fourth Proportional to 3,180.52, 4,770.23 and 840.55

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Solution

The fourth proportional to 3,180.52, 4,770.23 and 840.55 is: 1,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.52 : 4,770.23 = 840.55 : x
  2. Step 2: Convert to fraction form
    3,180.52/4,770.23 = 840.55/x
  3. Step 3: Cross multiply
    3,180.52x = 4,770.23 × 840.55
  4. Step 4: Simplify right side
    3,180.52x = 4,009,592.98
  5. Step 5: Solve for x
    x = 4,009,592.98/3,180.52
  6. Step 6: Final answer
    x = 1,260.67

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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.