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Finding the Fourth Proportional to 2,842.08, 4,264.79 and 1,198.50

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Solution

The fourth proportional to 2,842.08, 4,264.79 and 1,198.50 is: 1,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.08 : 4,264.79 = 1,198.50 : x
  2. Step 2: Convert to fraction form
    2,842.08/4,264.79 = 1,198.50/x
  3. Step 3: Cross multiply
    2,842.08x = 4,264.79 × 1,198.50
  4. Step 4: Simplify right side
    2,842.08x = 5,111,350.82
  5. Step 5: Solve for x
    x = 5,111,350.82/2,842.08
  6. Step 6: Final answer
    x = 1,798.45

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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.