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Finding the Fourth Proportional to 2,812.76, 4,219.14 and 965.96

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Solution

The fourth proportional to 2,812.76, 4,219.14 and 965.96 is: 1,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.76 : 4,219.14 = 965.96 : x
  2. Step 2: Convert to fraction form
    2,812.76/4,219.14 = 965.96/x
  3. Step 3: Cross multiply
    2,812.76x = 4,219.14 × 965.96
  4. Step 4: Simplify right side
    2,812.76x = 4,075,520.47
  5. Step 5: Solve for x
    x = 4,075,520.47/2,812.76
  6. Step 6: Final answer
    x = 1,448.94

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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.