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Finding the Fourth Proportional to 2,966.94, 4,449.78 and 1,118.01

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Solution

The fourth proportional to 2,966.94, 4,449.78 and 1,118.01 is: 1,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.94 : 4,449.78 = 1,118.01 : x
  2. Step 2: Convert to fraction form
    2,966.94/4,449.78 = 1,118.01/x
  3. Step 3: Cross multiply
    2,966.94x = 4,449.78 × 1,118.01
  4. Step 4: Simplify right side
    2,966.94x = 4,974,898.54
  5. Step 5: Solve for x
    x = 4,974,898.54/2,966.94
  6. Step 6: Final answer
    x = 1,676.78

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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.