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Finding the Fourth Proportional to 2,632.17, 3,948.21 and 684.39

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Solution

The fourth proportional to 2,632.17, 3,948.21 and 684.39 is: 1,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.17 : 3,948.21 = 684.39 : x
  2. Step 2: Convert to fraction form
    2,632.17/3,948.21 = 684.39/x
  3. Step 3: Cross multiply
    2,632.17x = 3,948.21 × 684.39
  4. Step 4: Simplify right side
    2,632.17x = 2,702,115.44
  5. Step 5: Solve for x
    x = 2,702,115.44/2,632.17
  6. Step 6: Final answer
    x = 1,026.57

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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.