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Finding the Fourth Proportional to 1,771.86, 2,656.48 and 1,222.48

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Solution

The fourth proportional to 1,771.86, 2,656.48 and 1,222.48 is: 1,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.86 : 2,656.48 = 1,222.48 : x
  2. Step 2: Convert to fraction form
    1,771.86/2,656.48 = 1,222.48/x
  3. Step 3: Cross multiply
    1,771.86x = 2,656.48 × 1,222.48
  4. Step 4: Simplify right side
    1,771.86x = 3,247,493.67
  5. Step 5: Solve for x
    x = 3,247,493.67/1,771.86
  6. Step 6: Final answer
    x = 1,832.82

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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.