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Finding the Fourth Proportional to 2,912.10, 4,019.05 and 1,733.14

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Solution

The fourth proportional to 2,912.10, 4,019.05 and 1,733.14 is: 2,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.10 : 4,019.05 = 1,733.14 : x
  2. Step 2: Convert to fraction form
    2,912.10/4,019.05 = 1,733.14/x
  3. Step 3: Cross multiply
    2,912.10x = 4,019.05 × 1,733.14
  4. Step 4: Simplify right side
    2,912.10x = 6,965,576.32
  5. Step 5: Solve for x
    x = 6,965,576.32/2,912.10
  6. Step 6: Final answer
    x = 2,391.94

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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.