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Finding the Fourth Proportional to 1,966.26, 2,949.49 and 505.42

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Solution

The fourth proportional to 1,966.26, 2,949.49 and 505.42 is: 758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.26 : 2,949.49 = 505.42 : x
  2. Step 2: Convert to fraction form
    1,966.26/2,949.49 = 505.42/x
  3. Step 3: Cross multiply
    1,966.26x = 2,949.49 × 505.42
  4. Step 4: Simplify right side
    1,966.26x = 1,490,731.24
  5. Step 5: Solve for x
    x = 1,490,731.24/1,966.26
  6. Step 6: Final answer
    x = 758.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.