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Finding the Fourth Proportional to 2,084.73, 3,132.21 and 2,002.73

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Solution

The fourth proportional to 2,084.73, 3,132.21 and 2,002.73 is: 3,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.73 : 3,132.21 = 2,002.73 : x
  2. Step 2: Convert to fraction form
    2,084.73/3,132.21 = 2,002.73/x
  3. Step 3: Cross multiply
    2,084.73x = 3,132.21 × 2,002.73
  4. Step 4: Simplify right side
    2,084.73x = 6,272,955.27
  5. Step 5: Solve for x
    x = 6,272,955.27/2,084.73
  6. Step 6: Final answer
    x = 3,009.00

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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.