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Finding the Fourth Proportional to 2,777.00, 4,161.54 and 2,447.24

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Solution

The fourth proportional to 2,777.00, 4,161.54 and 2,447.24 is: 3,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.00 : 4,161.54 = 2,447.24 : x
  2. Step 2: Convert to fraction form
    2,777.00/4,161.54 = 2,447.24/x
  3. Step 3: Cross multiply
    2,777.00x = 4,161.54 × 2,447.24
  4. Step 4: Simplify right side
    2,777.00x = 10,184,266.34
  5. Step 5: Solve for x
    x = 10,184,266.34/2,777.00
  6. Step 6: Final answer
    x = 3,667.37

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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.