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Finding the Fourth Proportional to 2,546.44, 3,516.87 and 1,751.88

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Solution

The fourth proportional to 2,546.44, 3,516.87 and 1,751.88 is: 2,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.44 : 3,516.87 = 1,751.88 : x
  2. Step 2: Convert to fraction form
    2,546.44/3,516.87 = 1,751.88/x
  3. Step 3: Cross multiply
    2,546.44x = 3,516.87 × 1,751.88
  4. Step 4: Simplify right side
    2,546.44x = 6,161,124.34
  5. Step 5: Solve for x
    x = 6,161,124.34/2,546.44
  6. Step 6: Final answer
    x = 2,419.51

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Why These Related Problems?

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