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Finding the Fourth Proportional to 2,553.49, 3,523.39 and 1,505.76

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Solution

The fourth proportional to 2,553.49, 3,523.39 and 1,505.76 is: 2,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.49 : 3,523.39 = 1,505.76 : x
  2. Step 2: Convert to fraction form
    2,553.49/3,523.39 = 1,505.76/x
  3. Step 3: Cross multiply
    2,553.49x = 3,523.39 × 1,505.76
  4. Step 4: Simplify right side
    2,553.49x = 5,305,379.73
  5. Step 5: Solve for x
    x = 5,305,379.73/2,553.49
  6. Step 6: Final answer
    x = 2,077.70

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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.