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Finding the Fourth Proportional to 1,968.14, 2,952.20 and 600.14

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Solution

The fourth proportional to 1,968.14, 2,952.20 and 600.14 is: 900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.14 : 2,952.20 = 600.14 : x
  2. Step 2: Convert to fraction form
    1,968.14/2,952.20 = 600.14/x
  3. Step 3: Cross multiply
    1,968.14x = 2,952.20 × 600.14
  4. Step 4: Simplify right side
    1,968.14x = 1,771,733.31
  5. Step 5: Solve for x
    x = 1,771,733.31/1,968.14
  6. Step 6: Final answer
    x = 900.21

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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.