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Finding the Fourth Proportional to 2,977.65, 4,467.08 and 1,128.42

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Solution

The fourth proportional to 2,977.65, 4,467.08 and 1,128.42 is: 1,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.65 : 4,467.08 = 1,128.42 : x
  2. Step 2: Convert to fraction form
    2,977.65/4,467.08 = 1,128.42/x
  3. Step 3: Cross multiply
    2,977.65x = 4,467.08 × 1,128.42
  4. Step 4: Simplify right side
    2,977.65x = 5,040,736.77
  5. Step 5: Solve for x
    x = 5,040,736.77/2,977.65
  6. Step 6: Final answer
    x = 1,692.86

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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.