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Finding the Fourth Proportional to 2,684.25, 4,026.74 and 952.88

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Solution

The fourth proportional to 2,684.25, 4,026.74 and 952.88 is: 1,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.25 : 4,026.74 = 952.88 : x
  2. Step 2: Convert to fraction form
    2,684.25/4,026.74 = 952.88/x
  3. Step 3: Cross multiply
    2,684.25x = 4,026.74 × 952.88
  4. Step 4: Simplify right side
    2,684.25x = 3,836,975.11
  5. Step 5: Solve for x
    x = 3,836,975.11/2,684.25
  6. Step 6: Final answer
    x = 1,429.44

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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.