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Finding the Fourth Proportional to 2,674.81, 4,012.92 and 2,159.50

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Solution

The fourth proportional to 2,674.81, 4,012.92 and 2,159.50 is: 3,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.81 : 4,012.92 = 2,159.50 : x
  2. Step 2: Convert to fraction form
    2,674.81/4,012.92 = 2,159.50/x
  3. Step 3: Cross multiply
    2,674.81x = 4,012.92 × 2,159.50
  4. Step 4: Simplify right side
    2,674.81x = 8,665,900.74
  5. Step 5: Solve for x
    x = 8,665,900.74/2,674.81
  6. Step 6: Final answer
    x = 3,239.82

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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.