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Finding the Fourth Proportional to 2,812.12, 4,213.62 and 1,713.15

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Solution

The fourth proportional to 2,812.12, 4,213.62 and 1,713.15 is: 2,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.12 : 4,213.62 = 1,713.15 : x
  2. Step 2: Convert to fraction form
    2,812.12/4,213.62 = 1,713.15/x
  3. Step 3: Cross multiply
    2,812.12x = 4,213.62 × 1,713.15
  4. Step 4: Simplify right side
    2,812.12x = 7,218,563.10
  5. Step 5: Solve for x
    x = 7,218,563.10/2,812.12
  6. Step 6: Final answer
    x = 2,566.95

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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.