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Finding the Fourth Proportional to 2,324.17, 3,486.48 and 680.95

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Solution

The fourth proportional to 2,324.17, 3,486.48 and 680.95 is: 1,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.17 : 3,486.48 = 680.95 : x
  2. Step 2: Convert to fraction form
    2,324.17/3,486.48 = 680.95/x
  3. Step 3: Cross multiply
    2,324.17x = 3,486.48 × 680.95
  4. Step 4: Simplify right side
    2,324.17x = 2,374,118.56
  5. Step 5: Solve for x
    x = 2,374,118.56/2,324.17
  6. Step 6: Final answer
    x = 1,021.49

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1.5x scale

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.