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Finding the Fourth Proportional to 2,055.96, 3,084 and 824.04

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Solution

The fourth proportional to 2,055.96, 3,084 and 824.04 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.96 : 3,084 = 824.04 : x
  2. Step 2: Convert to fraction form
    2,055.96/3,084 = 824.04/x
  3. Step 3: Cross multiply
    2,055.96x = 3,084 × 824.04
  4. Step 4: Simplify right side
    2,055.96x = 2,541,339.36
  5. Step 5: Solve for x
    x = 2,541,339.36/2,055.96
  6. Step 6: Final answer
    x = 1,236.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.