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Finding the Fourth Proportional to 2,112.10, 3,168.24 and 795.76

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Solution

The fourth proportional to 2,112.10, 3,168.24 and 795.76 is: 1,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.10 : 3,168.24 = 795.76 : x
  2. Step 2: Convert to fraction form
    2,112.10/3,168.24 = 795.76/x
  3. Step 3: Cross multiply
    2,112.10x = 3,168.24 × 795.76
  4. Step 4: Simplify right side
    2,112.10x = 2,521,158.66
  5. Step 5: Solve for x
    x = 2,521,158.66/2,112.10
  6. Step 6: Final answer
    x = 1,193.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.