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Finding the Fourth Proportional to 3,079.64, 4,619.42 and 771.14

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Solution

The fourth proportional to 3,079.64, 4,619.42 and 771.14 is: 1,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.64 : 4,619.42 = 771.14 : x
  2. Step 2: Convert to fraction form
    3,079.64/4,619.42 = 771.14/x
  3. Step 3: Cross multiply
    3,079.64x = 4,619.42 × 771.14
  4. Step 4: Simplify right side
    3,079.64x = 3,562,219.54
  5. Step 5: Solve for x
    x = 3,562,219.54/3,079.64
  6. Step 6: Final answer
    x = 1,156.70

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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.