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Finding the Fourth Proportional to 2,701.69, 3,728.33 and 1,459.69

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Solution

The fourth proportional to 2,701.69, 3,728.33 and 1,459.69 is: 2,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.69 : 3,728.33 = 1,459.69 : x
  2. Step 2: Convert to fraction form
    2,701.69/3,728.33 = 1,459.69/x
  3. Step 3: Cross multiply
    2,701.69x = 3,728.33 × 1,459.69
  4. Step 4: Simplify right side
    2,701.69x = 5,442,194.87
  5. Step 5: Solve for x
    x = 5,442,194.87/2,701.69
  6. Step 6: Final answer
    x = 2,014.37

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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.