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Finding the Fourth Proportional to 2,755.49, 4,128.23 and 2,460.25

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Solution

The fourth proportional to 2,755.49, 4,128.23 and 2,460.25 is: 3,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.49 : 4,128.23 = 2,460.25 : x
  2. Step 2: Convert to fraction form
    2,755.49/4,128.23 = 2,460.25/x
  3. Step 3: Cross multiply
    2,755.49x = 4,128.23 × 2,460.25
  4. Step 4: Simplify right side
    2,755.49x = 10,156,477.86
  5. Step 5: Solve for x
    x = 10,156,477.86/2,755.49
  6. Step 6: Final answer
    x = 3,685.91

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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.