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Finding the Fourth Proportional to 2,812.94, 4,215.74 and 2,035.56

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Solution

The fourth proportional to 2,812.94, 4,215.74 and 2,035.56 is: 3,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.94 : 4,215.74 = 2,035.56 : x
  2. Step 2: Convert to fraction form
    2,812.94/4,215.74 = 2,035.56/x
  3. Step 3: Cross multiply
    2,812.94x = 4,215.74 × 2,035.56
  4. Step 4: Simplify right side
    2,812.94x = 8,581,391.71
  5. Step 5: Solve for x
    x = 8,581,391.71/2,812.94
  6. Step 6: Final answer
    x = 3,050.68

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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.