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Finding the Fourth Proportional to 4,156.80, 6,235.20 and 1,969.80

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Solution

The fourth proportional to 4,156.80, 6,235.20 and 1,969.80 is: 2,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.80 : 6,235.20 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    4,156.80/6,235.20 = 1,969.80/x
  3. Step 3: Cross multiply
    4,156.80x = 6,235.20 × 1,969.80
  4. Step 4: Simplify right side
    4,156.80x = 12,282,096.96
  5. Step 5: Solve for x
    x = 12,282,096.96/4,156.80
  6. Step 6: Final answer
    x = 2,954.70

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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.