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Finding the Fourth Proportional to 2,452.53, 3,697.17 and 2,289.60

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Solution

The fourth proportional to 2,452.53, 3,697.17 and 2,289.60 is: 3,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.53 : 3,697.17 = 2,289.60 : x
  2. Step 2: Convert to fraction form
    2,452.53/3,697.17 = 2,289.60/x
  3. Step 3: Cross multiply
    2,452.53x = 3,697.17 × 2,289.60
  4. Step 4: Simplify right side
    2,452.53x = 8,465,040.43
  5. Step 5: Solve for x
    x = 8,465,040.43/2,452.53
  6. Step 6: Final answer
    x = 3,451.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.