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Finding the Fourth Proportional to 3,840.96, 5,760 and 1,648.56

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Solution

The fourth proportional to 3,840.96, 5,760 and 1,648.56 is: 2,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.96 : 5,760 = 1,648.56 : x
  2. Step 2: Convert to fraction form
    3,840.96/5,760 = 1,648.56/x
  3. Step 3: Cross multiply
    3,840.96x = 5,760 × 1,648.56
  4. Step 4: Simplify right side
    3,840.96x = 9,495,705.60
  5. Step 5: Solve for x
    x = 9,495,705.60/3,840.96
  6. Step 6: Final answer
    x = 2,472.22

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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.