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Finding the Fourth Proportional to 1,968.47, 2,952.23 and 581.43

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Solution

The fourth proportional to 1,968.47, 2,952.23 and 581.43 is: 872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.47 : 2,952.23 = 581.43 : x
  2. Step 2: Convert to fraction form
    1,968.47/2,952.23 = 581.43/x
  3. Step 3: Cross multiply
    1,968.47x = 2,952.23 × 581.43
  4. Step 4: Simplify right side
    1,968.47x = 1,716,523.92
  5. Step 5: Solve for x
    x = 1,716,523.92/1,968.47
  6. Step 6: Final answer
    x = 872.01

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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.