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Finding the Fourth Proportional to 3,162.95, 4,744.00 and 941.74

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Solution

The fourth proportional to 3,162.95, 4,744.00 and 941.74 is: 1,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.95 : 4,744.00 = 941.74 : x
  2. Step 2: Convert to fraction form
    3,162.95/4,744.00 = 941.74/x
  3. Step 3: Cross multiply
    3,162.95x = 4,744.00 × 941.74
  4. Step 4: Simplify right side
    3,162.95x = 4,467,586.13
  5. Step 5: Solve for x
    x = 4,467,586.13/3,162.95
  6. Step 6: Final answer
    x = 1,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.