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Finding the Fourth Proportional to 2,503.22, 3,754.88 and 771.84

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Solution

The fourth proportional to 2,503.22, 3,754.88 and 771.84 is: 1,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.22 : 3,754.88 = 771.84 : x
  2. Step 2: Convert to fraction form
    2,503.22/3,754.88 = 771.84/x
  3. Step 3: Cross multiply
    2,503.22x = 3,754.88 × 771.84
  4. Step 4: Simplify right side
    2,503.22x = 2,898,162.72
  5. Step 5: Solve for x
    x = 2,898,162.72/2,503.22
  6. Step 6: Final answer
    x = 1,157.78

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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.