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Finding the Fourth Proportional to 2,512.98, 3,763.26 and 2,026.98

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Solution

The fourth proportional to 2,512.98, 3,763.26 and 2,026.98 is: 3,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.98 : 3,763.26 = 2,026.98 : x
  2. Step 2: Convert to fraction form
    2,512.98/3,763.26 = 2,026.98/x
  3. Step 3: Cross multiply
    2,512.98x = 3,763.26 × 2,026.98
  4. Step 4: Simplify right side
    2,512.98x = 7,628,052.75
  5. Step 5: Solve for x
    x = 7,628,052.75/2,512.98
  6. Step 6: Final answer
    x = 3,035.46

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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.