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Finding the Fourth Proportional to 4,098.66, 6,149.67 and 1,466.49

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Solution

The fourth proportional to 4,098.66, 6,149.67 and 1,466.49 is: 2,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.66 : 6,149.67 = 1,466.49 : x
  2. Step 2: Convert to fraction form
    4,098.66/6,149.67 = 1,466.49/x
  3. Step 3: Cross multiply
    4,098.66x = 6,149.67 × 1,466.49
  4. Step 4: Simplify right side
    4,098.66x = 9,018,429.56
  5. Step 5: Solve for x
    x = 9,018,429.56/4,098.66
  6. Step 6: Final answer
    x = 2,200.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.