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Finding the Fourth Proportional to 2,424.56, 3,343.73 and 1,639.67

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Solution

The fourth proportional to 2,424.56, 3,343.73 and 1,639.67 is: 2,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.56 : 3,343.73 = 1,639.67 : x
  2. Step 2: Convert to fraction form
    2,424.56/3,343.73 = 1,639.67/x
  3. Step 3: Cross multiply
    2,424.56x = 3,343.73 × 1,639.67
  4. Step 4: Simplify right side
    2,424.56x = 5,482,588.85
  5. Step 5: Solve for x
    x = 5,482,588.85/2,424.56
  6. Step 6: Final answer
    x = 2,261.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.