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Finding the Fourth Proportional to 1,891.85, 2,836.85 and 705.06

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Solution

The fourth proportional to 1,891.85, 2,836.85 and 705.06 is: 1,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.85 : 2,836.85 = 705.06 : x
  2. Step 2: Convert to fraction form
    1,891.85/2,836.85 = 705.06/x
  3. Step 3: Cross multiply
    1,891.85x = 2,836.85 × 705.06
  4. Step 4: Simplify right side
    1,891.85x = 2,000,145.94
  5. Step 5: Solve for x
    x = 2,000,145.94/1,891.85
  6. Step 6: Final answer
    x = 1,057.25

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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.