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Finding the Fourth Proportional to 3,024.96, 4,174.40 and 1,698.80

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Solution

The fourth proportional to 3,024.96, 4,174.40 and 1,698.80 is: 2,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.96 : 4,174.40 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    3,024.96/4,174.40 = 1,698.80/x
  3. Step 3: Cross multiply
    3,024.96x = 4,174.40 × 1,698.80
  4. Step 4: Simplify right side
    3,024.96x = 7,091,470.72
  5. Step 5: Solve for x
    x = 7,091,470.72/3,024.96
  6. Step 6: Final answer
    x = 2,344.32

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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.