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Finding the Fourth Proportional to 2,815.56, 4,220.64 and 965.70

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Solution

The fourth proportional to 2,815.56, 4,220.64 and 965.70 is: 1,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.56 : 4,220.64 = 965.70 : x
  2. Step 2: Convert to fraction form
    2,815.56/4,220.64 = 965.70/x
  3. Step 3: Cross multiply
    2,815.56x = 4,220.64 × 965.70
  4. Step 4: Simplify right side
    2,815.56x = 4,075,872.05
  5. Step 5: Solve for x
    x = 4,075,872.05/2,815.56
  6. Step 6: Final answer
    x = 1,447.62

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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.