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Finding the Fourth Proportional to 2,620.37, 3,929.78 and 770.90

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Solution

The fourth proportional to 2,620.37, 3,929.78 and 770.90 is: 1,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.37 : 3,929.78 = 770.90 : x
  2. Step 2: Convert to fraction form
    2,620.37/3,929.78 = 770.90/x
  3. Step 3: Cross multiply
    2,620.37x = 3,929.78 × 770.90
  4. Step 4: Simplify right side
    2,620.37x = 3,029,443.90
  5. Step 5: Solve for x
    x = 3,029,443.90/2,620.37
  6. Step 6: Final answer
    x = 1,156.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.