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Finding the Fourth Proportional to 2,749.71, 4,104.57 and 2,546.67

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Solution

The fourth proportional to 2,749.71, 4,104.57 and 2,546.67 is: 3,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.71 : 4,104.57 = 2,546.67 : x
  2. Step 2: Convert to fraction form
    2,749.71/4,104.57 = 2,546.67/x
  3. Step 3: Cross multiply
    2,749.71x = 4,104.57 × 2,546.67
  4. Step 4: Simplify right side
    2,749.71x = 10,452,985.28
  5. Step 5: Solve for x
    x = 10,452,985.28/2,749.71
  6. Step 6: Final answer
    x = 3,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.