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Finding the Fourth Proportional to 3,077.64, 4,611.87 and 1,433.88

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Solution

The fourth proportional to 3,077.64, 4,611.87 and 1,433.88 is: 2,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.64 : 4,611.87 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    3,077.64/4,611.87 = 1,433.88/x
  3. Step 3: Cross multiply
    3,077.64x = 4,611.87 × 1,433.88
  4. Step 4: Simplify right side
    3,077.64x = 6,612,868.16
  5. Step 5: Solve for x
    x = 6,612,868.16/3,077.64
  6. Step 6: Final answer
    x = 2,148.68

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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.