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Finding the Fourth Proportional to 2,142.79, 3,215.22 and 1,865.67

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Solution

The fourth proportional to 2,142.79, 3,215.22 and 1,865.67 is: 2,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.79 : 3,215.22 = 1,865.67 : x
  2. Step 2: Convert to fraction form
    2,142.79/3,215.22 = 1,865.67/x
  3. Step 3: Cross multiply
    2,142.79x = 3,215.22 × 1,865.67
  4. Step 4: Simplify right side
    2,142.79x = 5,998,539.50
  5. Step 5: Solve for x
    x = 5,998,539.50/2,142.79
  6. Step 6: Final answer
    x = 2,799.41

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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.