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Finding the Fourth Proportional to 3,270.48, 4,907.16 and 1,218

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Solution

The fourth proportional to 3,270.48, 4,907.16 and 1,218 is: 1,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.48 : 4,907.16 = 1,218 : x
  2. Step 2: Convert to fraction form
    3,270.48/4,907.16 = 1,218/x
  3. Step 3: Cross multiply
    3,270.48x = 4,907.16 × 1,218
  4. Step 4: Simplify right side
    3,270.48x = 5,976,920.88
  5. Step 5: Solve for x
    x = 5,976,920.88/3,270.48
  6. Step 6: Final answer
    x = 1,827.54

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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.