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Finding the Fourth Proportional to 2,006.49, 2,766.18 and 1,729.68

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Solution

The fourth proportional to 2,006.49, 2,766.18 and 1,729.68 is: 2,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.49 : 2,766.18 = 1,729.68 : x
  2. Step 2: Convert to fraction form
    2,006.49/2,766.18 = 1,729.68/x
  3. Step 3: Cross multiply
    2,006.49x = 2,766.18 × 1,729.68
  4. Step 4: Simplify right side
    2,006.49x = 4,784,606.22
  5. Step 5: Solve for x
    x = 4,784,606.22/2,006.49
  6. Step 6: Final answer
    x = 2,384.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.