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Finding the Fourth Proportional to 2,056.94, 3,085.94 and 824.39

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Solution

The fourth proportional to 2,056.94, 3,085.94 and 824.39 is: 1,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.94 : 3,085.94 = 824.39 : x
  2. Step 2: Convert to fraction form
    2,056.94/3,085.94 = 824.39/x
  3. Step 3: Cross multiply
    2,056.94x = 3,085.94 × 824.39
  4. Step 4: Simplify right side
    2,056.94x = 2,544,004.71
  5. Step 5: Solve for x
    x = 2,544,004.71/2,056.94
  6. Step 6: Final answer
    x = 1,236.79

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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.