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Finding the Fourth Proportional to 2,031.78, 3,047.79 and 645.09

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Solution

The fourth proportional to 2,031.78, 3,047.79 and 645.09 is: 967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.78 : 3,047.79 = 645.09 : x
  2. Step 2: Convert to fraction form
    2,031.78/3,047.79 = 645.09/x
  3. Step 3: Cross multiply
    2,031.78x = 3,047.79 × 645.09
  4. Step 4: Simplify right side
    2,031.78x = 1,966,098.85
  5. Step 5: Solve for x
    x = 1,966,098.85/2,031.78
  6. Step 6: Final answer
    x = 967.67

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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.