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Finding the Fourth Proportional to 2,707.44, 4,056.32 and 1,838.64

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Solution

The fourth proportional to 2,707.44, 4,056.32 and 1,838.64 is: 2,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.44 : 4,056.32 = 1,838.64 : x
  2. Step 2: Convert to fraction form
    2,707.44/4,056.32 = 1,838.64/x
  3. Step 3: Cross multiply
    2,707.44x = 4,056.32 × 1,838.64
  4. Step 4: Simplify right side
    2,707.44x = 7,458,112.20
  5. Step 5: Solve for x
    x = 7,458,112.20/2,707.44
  6. Step 6: Final answer
    x = 2,754.67

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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.