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Finding the Fourth Proportional to 2,231.90, 3,347.99 and 770.86

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Solution

The fourth proportional to 2,231.90, 3,347.99 and 770.86 is: 1,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.90 : 3,347.99 = 770.86 : x
  2. Step 2: Convert to fraction form
    2,231.90/3,347.99 = 770.86/x
  3. Step 3: Cross multiply
    2,231.90x = 3,347.99 × 770.86
  4. Step 4: Simplify right side
    2,231.90x = 2,580,810.98
  5. Step 5: Solve for x
    x = 2,580,810.98/2,231.90
  6. Step 6: Final answer
    x = 1,156.33

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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.