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Finding the Fourth Proportional to 2,912.10, 4,367.48 and 832.06

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Solution

The fourth proportional to 2,912.10, 4,367.48 and 832.06 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.10 : 4,367.48 = 832.06 : x
  2. Step 2: Convert to fraction form
    2,912.10/4,367.48 = 832.06/x
  3. Step 3: Cross multiply
    2,912.10x = 4,367.48 × 832.06
  4. Step 4: Simplify right side
    2,912.10x = 3,634,005.41
  5. Step 5: Solve for x
    x = 3,634,005.41/2,912.10
  6. Step 6: Final answer
    x = 1,247.90

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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.