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Finding the Fourth Proportional to 2,668.70, 4,003.29 and 694.32

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Solution

The fourth proportional to 2,668.70, 4,003.29 and 694.32 is: 1,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.70 : 4,003.29 = 694.32 : x
  2. Step 2: Convert to fraction form
    2,668.70/4,003.29 = 694.32/x
  3. Step 3: Cross multiply
    2,668.70x = 4,003.29 × 694.32
  4. Step 4: Simplify right side
    2,668.70x = 2,779,564.31
  5. Step 5: Solve for x
    x = 2,779,564.31/2,668.70
  6. Step 6: Final answer
    x = 1,041.54

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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.