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Finding the Fourth Proportional to 2,257.69, 3,108.68 and 1,976.35

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Solution

The fourth proportional to 2,257.69, 3,108.68 and 1,976.35 is: 2,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.69 : 3,108.68 = 1,976.35 : x
  2. Step 2: Convert to fraction form
    2,257.69/3,108.68 = 1,976.35/x
  3. Step 3: Cross multiply
    2,257.69x = 3,108.68 × 1,976.35
  4. Step 4: Simplify right side
    2,257.69x = 6,143,824.17
  5. Step 5: Solve for x
    x = 6,143,824.17/2,257.69
  6. Step 6: Final answer
    x = 2,721.29

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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.