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Finding the Fourth Proportional to 3,074.64, 4,611.83 and 1,430.61

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Solution

The fourth proportional to 3,074.64, 4,611.83 and 1,430.61 is: 2,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.64 : 4,611.83 = 1,430.61 : x
  2. Step 2: Convert to fraction form
    3,074.64/4,611.83 = 1,430.61/x
  3. Step 3: Cross multiply
    3,074.64x = 4,611.83 × 1,430.61
  4. Step 4: Simplify right side
    3,074.64x = 6,597,722.96
  5. Step 5: Solve for x
    x = 6,597,722.96/3,074.64
  6. Step 6: Final answer
    x = 2,145.85

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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.