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Finding the Fourth Proportional to 2,755.96, 4,112.69 and 2,460.30

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Solution

The fourth proportional to 2,755.96, 4,112.69 and 2,460.30 is: 3,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.96 : 4,112.69 = 2,460.30 : x
  2. Step 2: Convert to fraction form
    2,755.96/4,112.69 = 2,460.30/x
  3. Step 3: Cross multiply
    2,755.96x = 4,112.69 × 2,460.30
  4. Step 4: Simplify right side
    2,755.96x = 10,118,460.46
  5. Step 5: Solve for x
    x = 10,118,460.46/2,755.96
  6. Step 6: Final answer
    x = 3,671.48

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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.