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Finding the Fourth Proportional to 1,966.44, 2,949.72 and 505.58

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Solution

The fourth proportional to 1,966.44, 2,949.72 and 505.58 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.44 : 2,949.72 = 505.58 : x
  2. Step 2: Convert to fraction form
    1,966.44/2,949.72 = 505.58/x
  3. Step 3: Cross multiply
    1,966.44x = 2,949.72 × 505.58
  4. Step 4: Simplify right side
    1,966.44x = 1,491,319.44
  5. Step 5: Solve for x
    x = 1,491,319.44/1,966.44
  6. Step 6: Final answer
    x = 758.39

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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.