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Finding the Fourth Proportional to 2,324.63, 3,486.44 and 680.74

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Solution

The fourth proportional to 2,324.63, 3,486.44 and 680.74 is: 1,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.63 : 3,486.44 = 680.74 : x
  2. Step 2: Convert to fraction form
    2,324.63/3,486.44 = 680.74/x
  3. Step 3: Cross multiply
    2,324.63x = 3,486.44 × 680.74
  4. Step 4: Simplify right side
    2,324.63x = 2,373,352.15
  5. Step 5: Solve for x
    x = 2,373,352.15/2,324.63
  6. Step 6: Final answer
    x = 1,020.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.