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Finding the Fourth Proportional to 2,817.85, 4,223.13 and 1,892.02

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Solution

The fourth proportional to 2,817.85, 4,223.13 and 1,892.02 is: 2,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.85 : 4,223.13 = 1,892.02 : x
  2. Step 2: Convert to fraction form
    2,817.85/4,223.13 = 1,892.02/x
  3. Step 3: Cross multiply
    2,817.85x = 4,223.13 × 1,892.02
  4. Step 4: Simplify right side
    2,817.85x = 7,990,246.42
  5. Step 5: Solve for x
    x = 7,990,246.42/2,817.85
  6. Step 6: Final answer
    x = 2,835.58

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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.