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Finding the Fourth Proportional to 2,884.74, 4,327.14 and 1,241.28

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Solution

The fourth proportional to 2,884.74, 4,327.14 and 1,241.28 is: 1,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.74 : 4,327.14 = 1,241.28 : x
  2. Step 2: Convert to fraction form
    2,884.74/4,327.14 = 1,241.28/x
  3. Step 3: Cross multiply
    2,884.74x = 4,327.14 × 1,241.28
  4. Step 4: Simplify right side
    2,884.74x = 5,371,192.34
  5. Step 5: Solve for x
    x = 5,371,192.34/2,884.74
  6. Step 6: Final answer
    x = 1,861.93

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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.