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Finding the Fourth Proportional to 1,968.56, 2,952.84 and 670.04

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Solution

The fourth proportional to 1,968.56, 2,952.84 and 670.04 is: 1,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.56 : 2,952.84 = 670.04 : x
  2. Step 2: Convert to fraction form
    1,968.56/2,952.84 = 670.04/x
  3. Step 3: Cross multiply
    1,968.56x = 2,952.84 × 670.04
  4. Step 4: Simplify right side
    1,968.56x = 1,978,520.91
  5. Step 5: Solve for x
    x = 1,978,520.91/1,968.56
  6. Step 6: Final answer
    x = 1,005.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.