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Finding the Fourth Proportional to 2,312.86, 3,469.74 and 669.42

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Solution

The fourth proportional to 2,312.86, 3,469.74 and 669.42 is: 1,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.86 : 3,469.74 = 669.42 : x
  2. Step 2: Convert to fraction form
    2,312.86/3,469.74 = 669.42/x
  3. Step 3: Cross multiply
    2,312.86x = 3,469.74 × 669.42
  4. Step 4: Simplify right side
    2,312.86x = 2,322,713.35
  5. Step 5: Solve for x
    x = 2,322,713.35/2,312.86
  6. Step 6: Final answer
    x = 1,004.26

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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.