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Finding the Fourth Proportional to 4,148.69, 6,223.65 and 1,226.61

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Solution

The fourth proportional to 4,148.69, 6,223.65 and 1,226.61 is: 1,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.69 : 6,223.65 = 1,226.61 : x
  2. Step 2: Convert to fraction form
    4,148.69/6,223.65 = 1,226.61/x
  3. Step 3: Cross multiply
    4,148.69x = 6,223.65 × 1,226.61
  4. Step 4: Simplify right side
    4,148.69x = 7,633,991.33
  5. Step 5: Solve for x
    x = 7,633,991.33/4,148.69
  6. Step 6: Final answer
    x = 1,840.10

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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.