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Finding the Fourth Proportional to 2,770.88, 4,156.80 and 823.20

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Solution

The fourth proportional to 2,770.88, 4,156.80 and 823.20 is: 1,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.88 : 4,156.80 = 823.20 : x
  2. Step 2: Convert to fraction form
    2,770.88/4,156.80 = 823.20/x
  3. Step 3: Cross multiply
    2,770.88x = 4,156.80 × 823.20
  4. Step 4: Simplify right side
    2,770.88x = 3,421,877.76
  5. Step 5: Solve for x
    x = 3,421,877.76/2,770.88
  6. Step 6: Final answer
    x = 1,234.94

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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.