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Finding the Fourth Proportional to 3,161.40, 4,363.68 and 1,835.70

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Solution

The fourth proportional to 3,161.40, 4,363.68 and 1,835.70 is: 2,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.40 : 4,363.68 = 1,835.70 : x
  2. Step 2: Convert to fraction form
    3,161.40/4,363.68 = 1,835.70/x
  3. Step 3: Cross multiply
    3,161.40x = 4,363.68 × 1,835.70
  4. Step 4: Simplify right side
    3,161.40x = 8,010,407.38
  5. Step 5: Solve for x
    x = 8,010,407.38/3,161.40
  6. Step 6: Final answer
    x = 2,533.82

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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.