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Finding the Fourth Proportional to 2,031.57, 3,047.20 and 644.95

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Solution

The fourth proportional to 2,031.57, 3,047.20 and 644.95 is: 967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.57 : 3,047.20 = 644.95 : x
  2. Step 2: Convert to fraction form
    2,031.57/3,047.20 = 644.95/x
  3. Step 3: Cross multiply
    2,031.57x = 3,047.20 × 644.95
  4. Step 4: Simplify right side
    2,031.57x = 1,965,291.64
  5. Step 5: Solve for x
    x = 1,965,291.64/2,031.57
  6. Step 6: Final answer
    x = 967.38

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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.