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Finding the Fourth Proportional to 2,620.02, 3,929.70 and 771.15

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Solution

The fourth proportional to 2,620.02, 3,929.70 and 771.15 is: 1,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.02 : 3,929.70 = 771.15 : x
  2. Step 2: Convert to fraction form
    2,620.02/3,929.70 = 771.15/x
  3. Step 3: Cross multiply
    2,620.02x = 3,929.70 × 771.15
  4. Step 4: Simplify right side
    2,620.02x = 3,030,388.16
  5. Step 5: Solve for x
    x = 3,030,388.16/2,620.02
  6. Step 6: Final answer
    x = 1,156.63

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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.