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Finding the Fourth Proportional to 3,123.77, 4,680.18 and 1,822.50

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Solution

The fourth proportional to 3,123.77, 4,680.18 and 1,822.50 is: 2,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.77 : 4,680.18 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    3,123.77/4,680.18 = 1,822.50/x
  3. Step 3: Cross multiply
    3,123.77x = 4,680.18 × 1,822.50
  4. Step 4: Simplify right side
    3,123.77x = 8,529,628.05
  5. Step 5: Solve for x
    x = 8,529,628.05/3,123.77
  6. Step 6: Final answer
    x = 2,730.56

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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.