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Finding the Fourth Proportional to 3,431.76, 4,736.16 and 1,940.10

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Solution

The fourth proportional to 3,431.76, 4,736.16 and 1,940.10 is: 2,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.76 : 4,736.16 = 1,940.10 : x
  2. Step 2: Convert to fraction form
    3,431.76/4,736.16 = 1,940.10/x
  3. Step 3: Cross multiply
    3,431.76x = 4,736.16 × 1,940.10
  4. Step 4: Simplify right side
    3,431.76x = 9,188,624.02
  5. Step 5: Solve for x
    x = 9,188,624.02/3,431.76
  6. Step 6: Final answer
    x = 2,677.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.