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Finding the Fourth Proportional to 2,956.70, 4,435.80 and 1,107.83

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Solution

The fourth proportional to 2,956.70, 4,435.80 and 1,107.83 is: 1,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.70 : 4,435.80 = 1,107.83 : x
  2. Step 2: Convert to fraction form
    2,956.70/4,435.80 = 1,107.83/x
  3. Step 3: Cross multiply
    2,956.70x = 4,435.80 × 1,107.83
  4. Step 4: Simplify right side
    2,956.70x = 4,914,090.14
  5. Step 5: Solve for x
    x = 4,914,090.14/2,956.70
  6. Step 6: Final answer
    x = 1,662.02

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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.