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Finding the Fourth Proportional to 1,684.64, 2,324.76 and 1,634.96

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Solution

The fourth proportional to 1,684.64, 2,324.76 and 1,634.96 is: 2,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.64 : 2,324.76 = 1,634.96 : x
  2. Step 2: Convert to fraction form
    1,684.64/2,324.76 = 1,634.96/x
  3. Step 3: Cross multiply
    1,684.64x = 2,324.76 × 1,634.96
  4. Step 4: Simplify right side
    1,684.64x = 3,800,889.61
  5. Step 5: Solve for x
    x = 3,800,889.61/1,684.64
  6. Step 6: Final answer
    x = 2,256.20

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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.