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Finding the Fourth Proportional to 2,022.30, 3,033.86 and 705.96

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Solution

The fourth proportional to 2,022.30, 3,033.86 and 705.96 is: 1,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.30 : 3,033.86 = 705.96 : x
  2. Step 2: Convert to fraction form
    2,022.30/3,033.86 = 705.96/x
  3. Step 3: Cross multiply
    2,022.30x = 3,033.86 × 705.96
  4. Step 4: Simplify right side
    2,022.30x = 2,141,780.28
  5. Step 5: Solve for x
    x = 2,141,780.28/2,022.30
  6. Step 6: Final answer
    x = 1,059.08

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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.