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Finding the Fourth Proportional to 2,684.17, 4,026.80 and 952.75

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Solution

The fourth proportional to 2,684.17, 4,026.80 and 952.75 is: 1,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.17 : 4,026.80 = 952.75 : x
  2. Step 2: Convert to fraction form
    2,684.17/4,026.80 = 952.75/x
  3. Step 3: Cross multiply
    2,684.17x = 4,026.80 × 952.75
  4. Step 4: Simplify right side
    2,684.17x = 3,836,533.70
  5. Step 5: Solve for x
    x = 3,836,533.70/2,684.17
  6. Step 6: Final answer
    x = 1,429.32

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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.