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Finding the Fourth Proportional to 1,861.92, 2,777.76 and 1,643.22

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Solution

The fourth proportional to 1,861.92, 2,777.76 and 1,643.22 is: 2,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.92 : 2,777.76 = 1,643.22 : x
  2. Step 2: Convert to fraction form
    1,861.92/2,777.76 = 1,643.22/x
  3. Step 3: Cross multiply
    1,861.92x = 2,777.76 × 1,643.22
  4. Step 4: Simplify right side
    1,861.92x = 4,564,470.79
  5. Step 5: Solve for x
    x = 4,564,470.79/1,861.92
  6. Step 6: Final answer
    x = 2,451.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.