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Finding the Fourth Proportional to 2,620.83, 3,931.53 and 771.96

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Solution

The fourth proportional to 2,620.83, 3,931.53 and 771.96 is: 1,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.83 : 3,931.53 = 771.96 : x
  2. Step 2: Convert to fraction form
    2,620.83/3,931.53 = 771.96/x
  3. Step 3: Cross multiply
    2,620.83x = 3,931.53 × 771.96
  4. Step 4: Simplify right side
    2,620.83x = 3,034,983.90
  5. Step 5: Solve for x
    x = 3,034,983.90/2,620.83
  6. Step 6: Final answer
    x = 1,158.02

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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.