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Finding the Fourth Proportional to 3,105.10, 4,658.19 and 1,025.20

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Solution

The fourth proportional to 3,105.10, 4,658.19 and 1,025.20 is: 1,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.10 : 4,658.19 = 1,025.20 : x
  2. Step 2: Convert to fraction form
    3,105.10/4,658.19 = 1,025.20/x
  3. Step 3: Cross multiply
    3,105.10x = 4,658.19 × 1,025.20
  4. Step 4: Simplify right side
    3,105.10x = 4,775,576.39
  5. Step 5: Solve for x
    x = 4,775,576.39/3,105.10
  6. Step 6: Final answer
    x = 1,537.98

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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.