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Finding the Fourth Proportional to 1,968.66, 2,952.66 and 581.97

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Solution

The fourth proportional to 1,968.66, 2,952.66 and 581.97 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.66 : 2,952.66 = 581.97 : x
  2. Step 2: Convert to fraction form
    1,968.66/2,952.66 = 581.97/x
  3. Step 3: Cross multiply
    1,968.66x = 2,952.66 × 581.97
  4. Step 4: Simplify right side
    1,968.66x = 1,718,359.54
  5. Step 5: Solve for x
    x = 1,718,359.54/1,968.66
  6. Step 6: Final answer
    x = 872.86

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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.