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Finding the Fourth Proportional to 3,024.98, 4,174.24 and 1,698.88

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Solution

The fourth proportional to 3,024.98, 4,174.24 and 1,698.88 is: 2,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.98 : 4,174.24 = 1,698.88 : x
  2. Step 2: Convert to fraction form
    3,024.98/4,174.24 = 1,698.88/x
  3. Step 3: Cross multiply
    3,024.98x = 4,174.24 × 1,698.88
  4. Step 4: Simplify right side
    3,024.98x = 7,091,532.85
  5. Step 5: Solve for x
    x = 7,091,532.85/3,024.98
  6. Step 6: Final answer
    x = 2,344.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.