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Finding the Fourth Proportional to 2,008.98, 3,014.97 and 914.07

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Solution

The fourth proportional to 2,008.98, 3,014.97 and 914.07 is: 1,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.98 : 3,014.97 = 914.07 : x
  2. Step 2: Convert to fraction form
    2,008.98/3,014.97 = 914.07/x
  3. Step 3: Cross multiply
    2,008.98x = 3,014.97 × 914.07
  4. Step 4: Simplify right side
    2,008.98x = 2,755,893.63
  5. Step 5: Solve for x
    x = 2,755,893.63/2,008.98
  6. Step 6: Final answer
    x = 1,371.79

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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.