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Finding the Fourth Proportional to 1,679.38, 2,520.60 and 802.42

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Solution

The fourth proportional to 1,679.38, 2,520.60 and 802.42 is: 1,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.38 : 2,520.60 = 802.42 : x
  2. Step 2: Convert to fraction form
    1,679.38/2,520.60 = 802.42/x
  3. Step 3: Cross multiply
    1,679.38x = 2,520.60 × 802.42
  4. Step 4: Simplify right side
    1,679.38x = 2,022,579.85
  5. Step 5: Solve for x
    x = 2,022,579.85/1,679.38
  6. Step 6: Final answer
    x = 1,204.36

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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.