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Finding the Fourth Proportional to 2,818.72, 3,889.36 and 1,684.24

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Solution

The fourth proportional to 2,818.72, 3,889.36 and 1,684.24 is: 2,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.72 : 3,889.36 = 1,684.24 : x
  2. Step 2: Convert to fraction form
    2,818.72/3,889.36 = 1,684.24/x
  3. Step 3: Cross multiply
    2,818.72x = 3,889.36 × 1,684.24
  4. Step 4: Simplify right side
    2,818.72x = 6,550,615.69
  5. Step 5: Solve for x
    x = 6,550,615.69/2,818.72
  6. Step 6: Final answer
    x = 2,323.97

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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.