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Finding the Fourth Proportional to 1,645.46, 2,472.02 and 1,556.99

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Solution

The fourth proportional to 1,645.46, 2,472.02 and 1,556.99 is: 2,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.46 : 2,472.02 = 1,556.99 : x
  2. Step 2: Convert to fraction form
    1,645.46/2,472.02 = 1,556.99/x
  3. Step 3: Cross multiply
    1,645.46x = 2,472.02 × 1,556.99
  4. Step 4: Simplify right side
    1,645.46x = 3,848,910.42
  5. Step 5: Solve for x
    x = 3,848,910.42/1,645.46
  6. Step 6: Final answer
    x = 2,339.11

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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.