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Finding the Fourth Proportional to 1,966.48, 2,949.62 and 505.71

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Solution

The fourth proportional to 1,966.48, 2,949.62 and 505.71 is: 758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.48 : 2,949.62 = 505.71 : x
  2. Step 2: Convert to fraction form
    1,966.48/2,949.62 = 505.71/x
  3. Step 3: Cross multiply
    1,966.48x = 2,949.62 × 505.71
  4. Step 4: Simplify right side
    1,966.48x = 1,491,649.80
  5. Step 5: Solve for x
    x = 1,491,649.80/1,966.48
  6. Step 6: Final answer
    x = 758.54

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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.