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Finding the Fourth Proportional to 2,555.52, 3,834 and 824.16

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Solution

The fourth proportional to 2,555.52, 3,834 and 824.16 is: 1,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.52 : 3,834 = 824.16 : x
  2. Step 2: Convert to fraction form
    2,555.52/3,834 = 824.16/x
  3. Step 3: Cross multiply
    2,555.52x = 3,834 × 824.16
  4. Step 4: Simplify right side
    2,555.52x = 3,159,829.44
  5. Step 5: Solve for x
    x = 3,159,829.44/2,555.52
  6. Step 6: Final answer
    x = 1,236.47

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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.