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Finding the Fourth Proportional to 2,008.49, 2,773.06 and 1,252.56

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Solution

The fourth proportional to 2,008.49, 2,773.06 and 1,252.56 is: 1,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.49 : 2,773.06 = 1,252.56 : x
  2. Step 2: Convert to fraction form
    2,008.49/2,773.06 = 1,252.56/x
  3. Step 3: Cross multiply
    2,008.49x = 2,773.06 × 1,252.56
  4. Step 4: Simplify right side
    2,008.49x = 3,473,422.75
  5. Step 5: Solve for x
    x = 3,473,422.75/2,008.49
  6. Step 6: Final answer
    x = 1,729.37

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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.