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Finding the Fourth Proportional to 2,668.24, 4,000.20 and 1,206.64

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Solution

The fourth proportional to 2,668.24, 4,000.20 and 1,206.64 is: 1,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.24 : 4,000.20 = 1,206.64 : x
  2. Step 2: Convert to fraction form
    2,668.24/4,000.20 = 1,206.64/x
  3. Step 3: Cross multiply
    2,668.24x = 4,000.20 × 1,206.64
  4. Step 4: Simplify right side
    2,668.24x = 4,826,801.33
  5. Step 5: Solve for x
    x = 4,826,801.33/2,668.24
  6. Step 6: Final answer
    x = 1,808.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.