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Finding the Fourth Proportional to 2,452.68, 3,679.93 and 1,137.07

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Solution

The fourth proportional to 2,452.68, 3,679.93 and 1,137.07 is: 1,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.68 : 3,679.93 = 1,137.07 : x
  2. Step 2: Convert to fraction form
    2,452.68/3,679.93 = 1,137.07/x
  3. Step 3: Cross multiply
    2,452.68x = 3,679.93 × 1,137.07
  4. Step 4: Simplify right side
    2,452.68x = 4,184,338.01
  5. Step 5: Solve for x
    x = 4,184,338.01/2,452.68
  6. Step 6: Final answer
    x = 1,706.03

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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.