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Finding the Fourth Proportional to 1,968.79, 2,952.21 and 1,147.27

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Solution

The fourth proportional to 1,968.79, 2,952.21 and 1,147.27 is: 1,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.79 : 2,952.21 = 1,147.27 : x
  2. Step 2: Convert to fraction form
    1,968.79/2,952.21 = 1,147.27/x
  3. Step 3: Cross multiply
    1,968.79x = 2,952.21 × 1,147.27
  4. Step 4: Simplify right side
    1,968.79x = 3,386,981.97
  5. Step 5: Solve for x
    x = 3,386,981.97/1,968.79
  6. Step 6: Final answer
    x = 1,720.34

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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.