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Finding the Fourth Proportional to 3,164.31, 4,364.73 and 1,985.13

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Solution

The fourth proportional to 3,164.31, 4,364.73 and 1,985.13 is: 2,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.31 : 4,364.73 = 1,985.13 : x
  2. Step 2: Convert to fraction form
    3,164.31/4,364.73 = 1,985.13/x
  3. Step 3: Cross multiply
    3,164.31x = 4,364.73 × 1,985.13
  4. Step 4: Simplify right side
    3,164.31x = 8,664,556.46
  5. Step 5: Solve for x
    x = 8,664,556.46/3,164.31
  6. Step 6: Final answer
    x = 2,738.21

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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.