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Finding the Fourth Proportional to 2,668.69, 4,003.10 and 694.40

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Solution

The fourth proportional to 2,668.69, 4,003.10 and 694.40 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.69 : 4,003.10 = 694.40 : x
  2. Step 2: Convert to fraction form
    2,668.69/4,003.10 = 694.40/x
  3. Step 3: Cross multiply
    2,668.69x = 4,003.10 × 694.40
  4. Step 4: Simplify right side
    2,668.69x = 2,779,729.15
  5. Step 5: Solve for x
    x = 2,779,729.15/2,668.69
  6. Step 6: Final answer
    x = 1,041.61

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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.