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Finding the Fourth Proportional to 2,475.43, 3,415.53 and 1,480.54

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Solution

The fourth proportional to 2,475.43, 3,415.53 and 1,480.54 is: 2,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.43 : 3,415.53 = 1,480.54 : x
  2. Step 2: Convert to fraction form
    2,475.43/3,415.53 = 1,480.54/x
  3. Step 3: Cross multiply
    2,475.43x = 3,415.53 × 1,480.54
  4. Step 4: Simplify right side
    2,475.43x = 5,056,828.79
  5. Step 5: Solve for x
    x = 5,056,828.79/2,475.43
  6. Step 6: Final answer
    x = 2,042.81

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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.