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Finding the Fourth Proportional to 2,826.70, 4,240.05 and 774.70

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Solution

The fourth proportional to 2,826.70, 4,240.05 and 774.70 is: 1,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.70 : 4,240.05 = 774.70 : x
  2. Step 2: Convert to fraction form
    2,826.70/4,240.05 = 774.70/x
  3. Step 3: Cross multiply
    2,826.70x = 4,240.05 × 774.70
  4. Step 4: Simplify right side
    2,826.70x = 3,284,766.74
  5. Step 5: Solve for x
    x = 3,284,766.74/2,826.70
  6. Step 6: Final answer
    x = 1,162.05

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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.