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Finding the Fourth Proportional to 3,098.54, 4,275.99 and 1,682.23

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Solution

The fourth proportional to 3,098.54, 4,275.99 and 1,682.23 is: 2,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.54 : 4,275.99 = 1,682.23 : x
  2. Step 2: Convert to fraction form
    3,098.54/4,275.99 = 1,682.23/x
  3. Step 3: Cross multiply
    3,098.54x = 4,275.99 × 1,682.23
  4. Step 4: Simplify right side
    3,098.54x = 7,193,168.87
  5. Step 5: Solve for x
    x = 7,193,168.87/3,098.54
  6. Step 6: Final answer
    x = 2,321.47

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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.