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Finding the Fourth Proportional to 2,476.31, 3,709.64 and 1,377.34

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Solution

The fourth proportional to 2,476.31, 3,709.64 and 1,377.34 is: 2,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.31 : 3,709.64 = 1,377.34 : x
  2. Step 2: Convert to fraction form
    2,476.31/3,709.64 = 1,377.34/x
  3. Step 3: Cross multiply
    2,476.31x = 3,709.64 × 1,377.34
  4. Step 4: Simplify right side
    2,476.31x = 5,109,429.73
  5. Step 5: Solve for x
    x = 5,109,429.73/2,476.31
  6. Step 6: Final answer
    x = 2,063.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.