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Finding the Fourth Proportional to 2,512.77, 3,469.28 and 2,346.47

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Solution

The fourth proportional to 2,512.77, 3,469.28 and 2,346.47 is: 3,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.77 : 3,469.28 = 2,346.47 : x
  2. Step 2: Convert to fraction form
    2,512.77/3,469.28 = 2,346.47/x
  3. Step 3: Cross multiply
    2,512.77x = 3,469.28 × 2,346.47
  4. Step 4: Simplify right side
    2,512.77x = 8,140,558.57
  5. Step 5: Solve for x
    x = 8,140,558.57/2,512.77
  6. Step 6: Final answer
    x = 3,239.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.