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Finding the Fourth Proportional to 2,031.81, 3,047.88 and 645.27

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Solution

The fourth proportional to 2,031.81, 3,047.88 and 645.27 is: 967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.81 : 3,047.88 = 645.27 : x
  2. Step 2: Convert to fraction form
    2,031.81/3,047.88 = 645.27/x
  3. Step 3: Cross multiply
    2,031.81x = 3,047.88 × 645.27
  4. Step 4: Simplify right side
    2,031.81x = 1,966,705.53
  5. Step 5: Solve for x
    x = 1,966,705.53/2,031.81
  6. Step 6: Final answer
    x = 967.96

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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.