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Finding the Fourth Proportional to 2,966.58, 4,449.84 and 1,234.80

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Solution

The fourth proportional to 2,966.58, 4,449.84 and 1,234.80 is: 1,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.58 : 4,449.84 = 1,234.80 : x
  2. Step 2: Convert to fraction form
    2,966.58/4,449.84 = 1,234.80/x
  3. Step 3: Cross multiply
    2,966.58x = 4,449.84 × 1,234.80
  4. Step 4: Simplify right side
    2,966.58x = 5,494,662.43
  5. Step 5: Solve for x
    x = 5,494,662.43/2,966.58
  6. Step 6: Final answer
    x = 1,852.19

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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.