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Finding the Fourth Proportional to 3,074.67, 4,611.20 and 883.53

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Solution

The fourth proportional to 3,074.67, 4,611.20 and 883.53 is: 1,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.67 : 4,611.20 = 883.53 : x
  2. Step 2: Convert to fraction form
    3,074.67/4,611.20 = 883.53/x
  3. Step 3: Cross multiply
    3,074.67x = 4,611.20 × 883.53
  4. Step 4: Simplify right side
    3,074.67x = 4,074,129.12
  5. Step 5: Solve for x
    x = 4,074,129.12/3,074.67
  6. Step 6: Final answer
    x = 1,325.06

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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.