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Finding the Fourth Proportional to 2,912.63, 4,367.29 and 2,664.67

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Solution

The fourth proportional to 2,912.63, 4,367.29 and 2,664.67 is: 3,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.63 : 4,367.29 = 2,664.67 : x
  2. Step 2: Convert to fraction form
    2,912.63/4,367.29 = 2,664.67/x
  3. Step 3: Cross multiply
    2,912.63x = 4,367.29 × 2,664.67
  4. Step 4: Simplify right side
    2,912.63x = 11,637,386.64
  5. Step 5: Solve for x
    x = 11,637,386.64/2,912.63
  6. Step 6: Final answer
    x = 3,995.49

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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.