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Finding the Fourth Proportional to 1,913.69, 2,640.26 and 1,116.83

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Solution

The fourth proportional to 1,913.69, 2,640.26 and 1,116.83 is: 1,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.69 : 2,640.26 = 1,116.83 : x
  2. Step 2: Convert to fraction form
    1,913.69/2,640.26 = 1,116.83/x
  3. Step 3: Cross multiply
    1,913.69x = 2,640.26 × 1,116.83
  4. Step 4: Simplify right side
    1,913.69x = 2,948,721.58
  5. Step 5: Solve for x
    x = 2,948,721.58/1,913.69
  6. Step 6: Final answer
    x = 1,540.86

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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.