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Finding the Fourth Proportional to 2,879.12, 3,967.30 and 2,666.50

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Solution

The fourth proportional to 2,879.12, 3,967.30 and 2,666.50 is: 3,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.12 : 3,967.30 = 2,666.50 : x
  2. Step 2: Convert to fraction form
    2,879.12/3,967.30 = 2,666.50/x
  3. Step 3: Cross multiply
    2,879.12x = 3,967.30 × 2,666.50
  4. Step 4: Simplify right side
    2,879.12x = 10,578,805.45
  5. Step 5: Solve for x
    x = 10,578,805.45/2,879.12
  6. Step 6: Final answer
    x = 3,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.