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Finding the Fourth Proportional to 2,002.42, 2,764.64 and 1,792.23

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Solution

The fourth proportional to 2,002.42, 2,764.64 and 1,792.23 is: 2,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.42 : 2,764.64 = 1,792.23 : x
  2. Step 2: Convert to fraction form
    2,002.42/2,764.64 = 1,792.23/x
  3. Step 3: Cross multiply
    2,002.42x = 2,764.64 × 1,792.23
  4. Step 4: Simplify right side
    2,002.42x = 4,954,877.05
  5. Step 5: Solve for x
    x = 4,954,877.05/2,002.42
  6. Step 6: Final answer
    x = 2,474.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.