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Finding the Fourth Proportional to 2,704, 3,732.48 and 1,876.48

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Solution

The fourth proportional to 2,704, 3,732.48 and 1,876.48 is: 2,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704 : 3,732.48 = 1,876.48 : x
  2. Step 2: Convert to fraction form
    2,704/3,732.48 = 1,876.48/x
  3. Step 3: Cross multiply
    2,704x = 3,732.48 × 1,876.48
  4. Step 4: Simplify right side
    2,704x = 7,003,924.07
  5. Step 5: Solve for x
    x = 7,003,924.07/2,704
  6. Step 6: Final answer
    x = 2,590.21

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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.