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Finding the Fourth Proportional to 3,002.73, 4,143.84 and 1,823.10

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Solution

The fourth proportional to 3,002.73, 4,143.84 and 1,823.10 is: 2,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.73 : 4,143.84 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    3,002.73/4,143.84 = 1,823.10/x
  3. Step 3: Cross multiply
    3,002.73x = 4,143.84 × 1,823.10
  4. Step 4: Simplify right side
    3,002.73x = 7,554,634.70
  5. Step 5: Solve for x
    x = 7,554,634.70/3,002.73
  6. Step 6: Final answer
    x = 2,515.92

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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.