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Finding the Fourth Proportional to 2,367.27, 3,546.05 and 1,902.53

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Solution

The fourth proportional to 2,367.27, 3,546.05 and 1,902.53 is: 2,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.27 : 3,546.05 = 1,902.53 : x
  2. Step 2: Convert to fraction form
    2,367.27/3,546.05 = 1,902.53/x
  3. Step 3: Cross multiply
    2,367.27x = 3,546.05 × 1,902.53
  4. Step 4: Simplify right side
    2,367.27x = 6,746,465.86
  5. Step 5: Solve for x
    x = 6,746,465.86/2,367.27
  6. Step 6: Final answer
    x = 2,849.89

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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.