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Finding the Fourth Proportional to 2,865.68, 4,296.36 and 1,220.84

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Solution

The fourth proportional to 2,865.68, 4,296.36 and 1,220.84 is: 1,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.68 : 4,296.36 = 1,220.84 : x
  2. Step 2: Convert to fraction form
    2,865.68/4,296.36 = 1,220.84/x
  3. Step 3: Cross multiply
    2,865.68x = 4,296.36 × 1,220.84
  4. Step 4: Simplify right side
    2,865.68x = 5,245,168.14
  5. Step 5: Solve for x
    x = 5,245,168.14/2,865.68
  6. Step 6: Final answer
    x = 1,830.34

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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.