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Finding the Fourth Proportional to 2,312.93, 3,469.26 and 669.44

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Solution

The fourth proportional to 2,312.93, 3,469.26 and 669.44 is: 1,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.93 : 3,469.26 = 669.44 : x
  2. Step 2: Convert to fraction form
    2,312.93/3,469.26 = 669.44/x
  3. Step 3: Cross multiply
    2,312.93x = 3,469.26 × 669.44
  4. Step 4: Simplify right side
    2,312.93x = 2,322,461.41
  5. Step 5: Solve for x
    x = 2,322,461.41/2,312.93
  6. Step 6: Final answer
    x = 1,004.12

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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.