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Finding the Fourth Proportional to 2,777, 4,164.96 and 802.49

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Solution

The fourth proportional to 2,777, 4,164.96 and 802.49 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777 : 4,164.96 = 802.49 : x
  2. Step 2: Convert to fraction form
    2,777/4,164.96 = 802.49/x
  3. Step 3: Cross multiply
    2,777x = 4,164.96 × 802.49
  4. Step 4: Simplify right side
    2,777x = 3,342,338.75
  5. Step 5: Solve for x
    x = 3,342,338.75/2,777
  6. Step 6: Final answer
    x = 1,203.58

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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.