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Finding the Fourth Proportional to 2,668.80, 3,998.40 and 1,641.60

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Solution

The fourth proportional to 2,668.80, 3,998.40 and 1,641.60 is: 2,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.80 : 3,998.40 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    2,668.80/3,998.40 = 1,641.60/x
  3. Step 3: Cross multiply
    2,668.80x = 3,998.40 × 1,641.60
  4. Step 4: Simplify right side
    2,668.80x = 6,563,773.44
  5. Step 5: Solve for x
    x = 6,563,773.44/2,668.80
  6. Step 6: Final answer
    x = 2,459.45

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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.