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Finding the Fourth Proportional to 2,369.72, 3,554.60 and 1,216.28

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Solution

The fourth proportional to 2,369.72, 3,554.60 and 1,216.28 is: 1,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.72 : 3,554.60 = 1,216.28 : x
  2. Step 2: Convert to fraction form
    2,369.72/3,554.60 = 1,216.28/x
  3. Step 3: Cross multiply
    2,369.72x = 3,554.60 × 1,216.28
  4. Step 4: Simplify right side
    2,369.72x = 4,323,388.89
  5. Step 5: Solve for x
    x = 4,323,388.89/2,369.72
  6. Step 6: Final answer
    x = 1,824.43

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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.