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Finding the Fourth Proportional to 2,798.68, 4,198.50 and 824.60

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Solution

The fourth proportional to 2,798.68, 4,198.50 and 824.60 is: 1,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.68 : 4,198.50 = 824.60 : x
  2. Step 2: Convert to fraction form
    2,798.68/4,198.50 = 824.60/x
  3. Step 3: Cross multiply
    2,798.68x = 4,198.50 × 824.60
  4. Step 4: Simplify right side
    2,798.68x = 3,462,083.10
  5. Step 5: Solve for x
    x = 3,462,083.10/2,798.68
  6. Step 6: Final answer
    x = 1,237.04

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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.