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Finding the Fourth Proportional to 3,038.88, 4,193.70 and 1,694.46

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Solution

The fourth proportional to 3,038.88, 4,193.70 and 1,694.46 is: 2,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.88 : 4,193.70 = 1,694.46 : x
  2. Step 2: Convert to fraction form
    3,038.88/4,193.70 = 1,694.46/x
  3. Step 3: Cross multiply
    3,038.88x = 4,193.70 × 1,694.46
  4. Step 4: Simplify right side
    3,038.88x = 7,106,056.90
  5. Step 5: Solve for x
    x = 7,106,056.90/3,038.88
  6. Step 6: Final answer
    x = 2,338.38

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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.