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Finding the Fourth Proportional to 1,968.41, 2,952.21 and 735.14

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Solution

The fourth proportional to 1,968.41, 2,952.21 and 735.14 is: 1,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.41 : 2,952.21 = 735.14 : x
  2. Step 2: Convert to fraction form
    1,968.41/2,952.21 = 735.14/x
  3. Step 3: Cross multiply
    1,968.41x = 2,952.21 × 735.14
  4. Step 4: Simplify right side
    1,968.41x = 2,170,287.66
  5. Step 5: Solve for x
    x = 2,170,287.66/1,968.41
  6. Step 6: Final answer
    x = 1,102.56

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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.