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Finding the Fourth Proportional to 2,703.54, 4,054.70 and 1,241.29

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Solution

The fourth proportional to 2,703.54, 4,054.70 and 1,241.29 is: 1,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.54 : 4,054.70 = 1,241.29 : x
  2. Step 2: Convert to fraction form
    2,703.54/4,054.70 = 1,241.29/x
  3. Step 3: Cross multiply
    2,703.54x = 4,054.70 × 1,241.29
  4. Step 4: Simplify right side
    2,703.54x = 5,033,066.73
  5. Step 5: Solve for x
    x = 5,033,066.73/2,703.54
  6. Step 6: Final answer
    x = 1,861.66

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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.