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Finding the Fourth Proportional to 2,970.38, 4,099.34 and 1,694.23

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Solution

The fourth proportional to 2,970.38, 4,099.34 and 1,694.23 is: 2,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.38 : 4,099.34 = 1,694.23 : x
  2. Step 2: Convert to fraction form
    2,970.38/4,099.34 = 1,694.23/x
  3. Step 3: Cross multiply
    2,970.38x = 4,099.34 × 1,694.23
  4. Step 4: Simplify right side
    2,970.38x = 6,945,224.81
  5. Step 5: Solve for x
    x = 6,945,224.81/2,970.38
  6. Step 6: Final answer
    x = 2,338.16

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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.