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Finding the Fourth Proportional to 2,699.16, 4,047 and 2,179.80

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Solution

The fourth proportional to 2,699.16, 4,047 and 2,179.80 is: 3,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.16 : 4,047 = 2,179.80 : x
  2. Step 2: Convert to fraction form
    2,699.16/4,047 = 2,179.80/x
  3. Step 3: Cross multiply
    2,699.16x = 4,047 × 2,179.80
  4. Step 4: Simplify right side
    2,699.16x = 8,821,650.60
  5. Step 5: Solve for x
    x = 8,821,650.60/2,699.16
  6. Step 6: Final answer
    x = 3,268.29

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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.