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Finding the Fourth Proportional to 4,098.49, 6,148.29 and 1,324.24

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Solution

The fourth proportional to 4,098.49, 6,148.29 and 1,324.24 is: 1,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.49 : 6,148.29 = 1,324.24 : x
  2. Step 2: Convert to fraction form
    4,098.49/6,148.29 = 1,324.24/x
  3. Step 3: Cross multiply
    4,098.49x = 6,148.29 × 1,324.24
  4. Step 4: Simplify right side
    4,098.49x = 8,141,811.55
  5. Step 5: Solve for x
    x = 8,141,811.55/4,098.49
  6. Step 6: Final answer
    x = 1,986.54

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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.