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Finding the Fourth Proportional to 1,968.42, 2,952.19 and 581.52

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Solution

The fourth proportional to 1,968.42, 2,952.19 and 581.52 is: 872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.42 : 2,952.19 = 581.52 : x
  2. Step 2: Convert to fraction form
    1,968.42/2,952.19 = 581.52/x
  3. Step 3: Cross multiply
    1,968.42x = 2,952.19 × 581.52
  4. Step 4: Simplify right side
    1,968.42x = 1,716,757.53
  5. Step 5: Solve for x
    x = 1,716,757.53/1,968.42
  6. Step 6: Final answer
    x = 872.15

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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.