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Finding the Fourth Proportional to 2,164.32, 3,244.86 and 1,678.32

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Solution

The fourth proportional to 2,164.32, 3,244.86 and 1,678.32 is: 2,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.32 : 3,244.86 = 1,678.32 : x
  2. Step 2: Convert to fraction form
    2,164.32/3,244.86 = 1,678.32/x
  3. Step 3: Cross multiply
    2,164.32x = 3,244.86 × 1,678.32
  4. Step 4: Simplify right side
    2,164.32x = 5,445,913.44
  5. Step 5: Solve for x
    x = 5,445,913.44/2,164.32
  6. Step 6: Final answer
    x = 2,516.22

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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.