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Finding the Fourth Proportional to 2,423.92, 3,343.32 and 1,638.64

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Solution

The fourth proportional to 2,423.92, 3,343.32 and 1,638.64 is: 2,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.92 : 3,343.32 = 1,638.64 : x
  2. Step 2: Convert to fraction form
    2,423.92/3,343.32 = 1,638.64/x
  3. Step 3: Cross multiply
    2,423.92x = 3,343.32 × 1,638.64
  4. Step 4: Simplify right side
    2,423.92x = 5,478,497.88
  5. Step 5: Solve for x
    x = 5,478,497.88/2,423.92
  6. Step 6: Final answer
    x = 2,260.18

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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.