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Finding the Fourth Proportional to 3,184.73, 4,775.25 and 1,234.65

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Solution

The fourth proportional to 3,184.73, 4,775.25 and 1,234.65 is: 1,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.73 : 4,775.25 = 1,234.65 : x
  2. Step 2: Convert to fraction form
    3,184.73/4,775.25 = 1,234.65/x
  3. Step 3: Cross multiply
    3,184.73x = 4,775.25 × 1,234.65
  4. Step 4: Simplify right side
    3,184.73x = 5,895,762.41
  5. Step 5: Solve for x
    x = 5,895,762.41/3,184.73
  6. Step 6: Final answer
    x = 1,851.26

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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.