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Finding the Fourth Proportional to 2,920, 4,029.60 and 2,174.60

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Solution

The fourth proportional to 2,920, 4,029.60 and 2,174.60 is: 3,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920 : 4,029.60 = 2,174.60 : x
  2. Step 2: Convert to fraction form
    2,920/4,029.60 = 2,174.60/x
  3. Step 3: Cross multiply
    2,920x = 4,029.60 × 2,174.60
  4. Step 4: Simplify right side
    2,920x = 8,762,768.16
  5. Step 5: Solve for x
    x = 8,762,768.16/2,920
  6. Step 6: Final answer
    x = 3,000.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.