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Finding the Fourth Proportional to 2,031.49, 3,047.55 and 644.70

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Solution

The fourth proportional to 2,031.49, 3,047.55 and 644.70 is: 967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.49 : 3,047.55 = 644.70 : x
  2. Step 2: Convert to fraction form
    2,031.49/3,047.55 = 644.70/x
  3. Step 3: Cross multiply
    2,031.49x = 3,047.55 × 644.70
  4. Step 4: Simplify right side
    2,031.49x = 1,964,755.49
  5. Step 5: Solve for x
    x = 1,964,755.49/2,031.49
  6. Step 6: Final answer
    x = 967.15

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1.5x scale

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.