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Finding the Fourth Proportional to 3,024.82, 4,174.14 and 1,698.94

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Solution

The fourth proportional to 3,024.82, 4,174.14 and 1,698.94 is: 2,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.82 : 4,174.14 = 1,698.94 : x
  2. Step 2: Convert to fraction form
    3,024.82/4,174.14 = 1,698.94/x
  3. Step 3: Cross multiply
    3,024.82x = 4,174.14 × 1,698.94
  4. Step 4: Simplify right side
    3,024.82x = 7,091,613.41
  5. Step 5: Solve for x
    x = 7,091,613.41/3,024.82
  6. Step 6: Final answer
    x = 2,344.47

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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.