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Finding the Fourth Proportional to 2,812.94, 4,216.44 and 1,056.80

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Solution

The fourth proportional to 2,812.94, 4,216.44 and 1,056.80 is: 1,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.94 : 4,216.44 = 1,056.80 : x
  2. Step 2: Convert to fraction form
    2,812.94/4,216.44 = 1,056.80/x
  3. Step 3: Cross multiply
    2,812.94x = 4,216.44 × 1,056.80
  4. Step 4: Simplify right side
    2,812.94x = 4,455,912.71
  5. Step 5: Solve for x
    x = 4,455,912.71/2,812.94
  6. Step 6: Final answer
    x = 1,584.08

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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.