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Finding the Fourth Proportional to 2,473.54, 3,706.16 and 1,377.27

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Solution

The fourth proportional to 2,473.54, 3,706.16 and 1,377.27 is: 2,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.54 : 3,706.16 = 1,377.27 : x
  2. Step 2: Convert to fraction form
    2,473.54/3,706.16 = 1,377.27/x
  3. Step 3: Cross multiply
    2,473.54x = 3,706.16 × 1,377.27
  4. Step 4: Simplify right side
    2,473.54x = 5,104,376.10
  5. Step 5: Solve for x
    x = 5,104,376.10/2,473.54
  6. Step 6: Final answer
    x = 2,063.59

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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.