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Finding the Fourth Proportional to 1,968.20, 2,953.20 and 927.80

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Solution

The fourth proportional to 1,968.20, 2,953.20 and 927.80 is: 1,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.20 : 2,953.20 = 927.80 : x
  2. Step 2: Convert to fraction form
    1,968.20/2,953.20 = 927.80/x
  3. Step 3: Cross multiply
    1,968.20x = 2,953.20 × 927.80
  4. Step 4: Simplify right side
    1,968.20x = 2,739,978.96
  5. Step 5: Solve for x
    x = 2,739,978.96/1,968.20
  6. Step 6: Final answer
    x = 1,392.12

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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.