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Finding the Fourth Proportional to 2,407.76, 3,608.79 and 1,172.33

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Solution

The fourth proportional to 2,407.76, 3,608.79 and 1,172.33 is: 1,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.76 : 3,608.79 = 1,172.33 : x
  2. Step 2: Convert to fraction form
    2,407.76/3,608.79 = 1,172.33/x
  3. Step 3: Cross multiply
    2,407.76x = 3,608.79 × 1,172.33
  4. Step 4: Simplify right side
    2,407.76x = 4,230,692.78
  5. Step 5: Solve for x
    x = 4,230,692.78/2,407.76
  6. Step 6: Final answer
    x = 1,757.11

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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.