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Finding the Fourth Proportional to 2,812.06, 4,218.90 and 2,083.06

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Solution

The fourth proportional to 2,812.06, 4,218.90 and 2,083.06 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.06 : 4,218.90 = 2,083.06 : x
  2. Step 2: Convert to fraction form
    2,812.06/4,218.90 = 2,083.06/x
  3. Step 3: Cross multiply
    2,812.06x = 4,218.90 × 2,083.06
  4. Step 4: Simplify right side
    2,812.06x = 8,788,221.83
  5. Step 5: Solve for x
    x = 8,788,221.83/2,812.06
  6. Step 6: Final answer
    x = 3,125.19

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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.