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Finding the Fourth Proportional to 3,008.72, 4,511.41 and 928.14

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Solution

The fourth proportional to 3,008.72, 4,511.41 and 928.14 is: 1,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.72 : 4,511.41 = 928.14 : x
  2. Step 2: Convert to fraction form
    3,008.72/4,511.41 = 928.14/x
  3. Step 3: Cross multiply
    3,008.72x = 4,511.41 × 928.14
  4. Step 4: Simplify right side
    3,008.72x = 4,187,200.84
  5. Step 5: Solve for x
    x = 4,187,200.84/3,008.72
  6. Step 6: Final answer
    x = 1,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.