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Finding the Fourth Proportional to 3,024.84, 4,174.38 and 1,698.78

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Solution

The fourth proportional to 3,024.84, 4,174.38 and 1,698.78 is: 2,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.84 : 4,174.38 = 1,698.78 : x
  2. Step 2: Convert to fraction form
    3,024.84/4,174.38 = 1,698.78/x
  3. Step 3: Cross multiply
    3,024.84x = 4,174.38 × 1,698.78
  4. Step 4: Simplify right side
    3,024.84x = 7,091,353.26
  5. Step 5: Solve for x
    x = 7,091,353.26/3,024.84
  6. Step 6: Final answer
    x = 2,344.37

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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.