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Finding the Fourth Proportional to 1,872, 2,584.80 and 1,481.04

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Solution

The fourth proportional to 1,872, 2,584.80 and 1,481.04 is: 2,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872 : 2,584.80 = 1,481.04 : x
  2. Step 2: Convert to fraction form
    1,872/2,584.80 = 1,481.04/x
  3. Step 3: Cross multiply
    1,872x = 2,584.80 × 1,481.04
  4. Step 4: Simplify right side
    1,872x = 3,828,192.19
  5. Step 5: Solve for x
    x = 3,828,192.19/1,872
  6. Step 6: Final answer
    x = 2,044.97

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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.