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Finding the Fourth Proportional to 3,038.40, 4,193.20 and 1,694.22

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Solution

The fourth proportional to 3,038.40, 4,193.20 and 1,694.22 is: 2,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.40 : 4,193.20 = 1,694.22 : x
  2. Step 2: Convert to fraction form
    3,038.40/4,193.20 = 1,694.22/x
  3. Step 3: Cross multiply
    3,038.40x = 4,193.20 × 1,694.22
  4. Step 4: Simplify right side
    3,038.40x = 7,104,203.30
  5. Step 5: Solve for x
    x = 7,104,203.30/3,038.40
  6. Step 6: Final answer
    x = 2,338.14

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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.