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Finding the Fourth Proportional to 2,156.88, 3,234.50 and 769.96

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Solution

The fourth proportional to 2,156.88, 3,234.50 and 769.96 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.88 : 3,234.50 = 769.96 : x
  2. Step 2: Convert to fraction form
    2,156.88/3,234.50 = 769.96/x
  3. Step 3: Cross multiply
    2,156.88x = 3,234.50 × 769.96
  4. Step 4: Simplify right side
    2,156.88x = 2,490,420.51
  5. Step 5: Solve for x
    x = 2,490,420.51/2,156.88
  6. Step 6: Final answer
    x = 1,154.64

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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.