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Finding the Fourth Proportional to 3,200.81, 4,416.65 and 1,856.37

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Solution

The fourth proportional to 3,200.81, 4,416.65 and 1,856.37 is: 2,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.81 : 4,416.65 = 1,856.37 : x
  2. Step 2: Convert to fraction form
    3,200.81/4,416.65 = 1,856.37/x
  3. Step 3: Cross multiply
    3,200.81x = 4,416.65 × 1,856.37
  4. Step 4: Simplify right side
    3,200.81x = 8,198,914.48
  5. Step 5: Solve for x
    x = 8,198,914.48/3,200.81
  6. Step 6: Final answer
    x = 2,561.51

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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.