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Finding the Fourth Proportional to 3,074.02, 4,611.23 and 882.77

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Solution

The fourth proportional to 3,074.02, 4,611.23 and 882.77 is: 1,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.02 : 4,611.23 = 882.77 : x
  2. Step 2: Convert to fraction form
    3,074.02/4,611.23 = 882.77/x
  3. Step 3: Cross multiply
    3,074.02x = 4,611.23 × 882.77
  4. Step 4: Simplify right side
    3,074.02x = 4,070,631.35
  5. Step 5: Solve for x
    x = 4,070,631.35/3,074.02
  6. Step 6: Final answer
    x = 1,324.21

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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.