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Finding the Fourth Proportional to 3,105.65, 4,657.49 and 1,025.27

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Solution

The fourth proportional to 3,105.65, 4,657.49 and 1,025.27 is: 1,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.65 : 4,657.49 = 1,025.27 : x
  2. Step 2: Convert to fraction form
    3,105.65/4,657.49 = 1,025.27/x
  3. Step 3: Cross multiply
    3,105.65x = 4,657.49 × 1,025.27
  4. Step 4: Simplify right side
    3,105.65x = 4,775,156.36
  5. Step 5: Solve for x
    x = 4,775,156.36/3,105.65
  6. Step 6: Final answer
    x = 1,537.57

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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.