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Finding the Fourth Proportional to 3,161.39, 4,362.93 and 1,835.24

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Solution

The fourth proportional to 3,161.39, 4,362.93 and 1,835.24 is: 2,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.39 : 4,362.93 = 1,835.24 : x
  2. Step 2: Convert to fraction form
    3,161.39/4,362.93 = 1,835.24/x
  3. Step 3: Cross multiply
    3,161.39x = 4,362.93 × 1,835.24
  4. Step 4: Simplify right side
    3,161.39x = 8,007,001.84
  5. Step 5: Solve for x
    x = 8,007,001.84/3,161.39
  6. Step 6: Final answer
    x = 2,532.75

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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.