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Finding the Fourth Proportional to 3,226.93, 4,840.47 and 1,830.29

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Solution

The fourth proportional to 3,226.93, 4,840.47 and 1,830.29 is: 2,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.93 : 4,840.47 = 1,830.29 : x
  2. Step 2: Convert to fraction form
    3,226.93/4,840.47 = 1,830.29/x
  3. Step 3: Cross multiply
    3,226.93x = 4,840.47 × 1,830.29
  4. Step 4: Simplify right side
    3,226.93x = 8,859,432.77
  5. Step 5: Solve for x
    x = 8,859,432.77/3,226.93
  6. Step 6: Final answer
    x = 2,745.47

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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.