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Finding the Fourth Proportional to 3,116.81, 4,301.66 and 2,054.41

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Solution

The fourth proportional to 3,116.81, 4,301.66 and 2,054.41 is: 2,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.81 : 4,301.66 = 2,054.41 : x
  2. Step 2: Convert to fraction form
    3,116.81/4,301.66 = 2,054.41/x
  3. Step 3: Cross multiply
    3,116.81x = 4,301.66 × 2,054.41
  4. Step 4: Simplify right side
    3,116.81x = 8,837,367.70
  5. Step 5: Solve for x
    x = 8,837,367.70/3,116.81
  6. Step 6: Final answer
    x = 2,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.