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Finding the Fourth Proportional to 2,447.82, 3,671.73 and 2,014.07

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Solution

The fourth proportional to 2,447.82, 3,671.73 and 2,014.07 is: 3,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.82 : 3,671.73 = 2,014.07 : x
  2. Step 2: Convert to fraction form
    2,447.82/3,671.73 = 2,014.07/x
  3. Step 3: Cross multiply
    2,447.82x = 3,671.73 × 2,014.07
  4. Step 4: Simplify right side
    2,447.82x = 7,395,102.88
  5. Step 5: Solve for x
    x = 7,395,102.88/2,447.82
  6. Step 6: Final answer
    x = 3,021.10

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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.