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Finding the Fourth Proportional to 2,796.86, 4,196.50 and 1,065.08

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Solution

The fourth proportional to 2,796.86, 4,196.50 and 1,065.08 is: 1,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.86 : 4,196.50 = 1,065.08 : x
  2. Step 2: Convert to fraction form
    2,796.86/4,196.50 = 1,065.08/x
  3. Step 3: Cross multiply
    2,796.86x = 4,196.50 × 1,065.08
  4. Step 4: Simplify right side
    2,796.86x = 4,469,608.22
  5. Step 5: Solve for x
    x = 4,469,608.22/2,796.86
  6. Step 6: Final answer
    x = 1,598.08

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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.