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Finding the Fourth Proportional to 2,850, 4,275.50 and 1,367.95

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Solution

The fourth proportional to 2,850, 4,275.50 and 1,367.95 is: 2,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 4,275.50 = 1,367.95 : x
  2. Step 2: Convert to fraction form
    2,850/4,275.50 = 1,367.95/x
  3. Step 3: Cross multiply
    2,850x = 4,275.50 × 1,367.95
  4. Step 4: Simplify right side
    2,850x = 5,848,670.23
  5. Step 5: Solve for x
    x = 5,848,670.23/2,850
  6. Step 6: Final answer
    x = 2,052.16

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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.