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Finding the Fourth Proportional to 2,475.72, 3,415.25 and 1,480.73

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Solution

The fourth proportional to 2,475.72, 3,415.25 and 1,480.73 is: 2,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.72 : 3,415.25 = 1,480.73 : x
  2. Step 2: Convert to fraction form
    2,475.72/3,415.25 = 1,480.73/x
  3. Step 3: Cross multiply
    2,475.72x = 3,415.25 × 1,480.73
  4. Step 4: Simplify right side
    2,475.72x = 5,057,063.13
  5. Step 5: Solve for x
    x = 5,057,063.13/2,475.72
  6. Step 6: Final answer
    x = 2,042.66

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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.