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Finding the Fourth Proportional to 3,098.68, 4,648.02 and 1,150.36

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Solution

The fourth proportional to 3,098.68, 4,648.02 and 1,150.36 is: 1,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.68 : 4,648.02 = 1,150.36 : x
  2. Step 2: Convert to fraction form
    3,098.68/4,648.02 = 1,150.36/x
  3. Step 3: Cross multiply
    3,098.68x = 4,648.02 × 1,150.36
  4. Step 4: Simplify right side
    3,098.68x = 5,346,896.29
  5. Step 5: Solve for x
    x = 5,346,896.29/3,098.68
  6. Step 6: Final answer
    x = 1,725.54

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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.