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Finding the Fourth Proportional to 2,701.75, 3,728.42 and 1,459.75

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Solution

The fourth proportional to 2,701.75, 3,728.42 and 1,459.75 is: 2,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.75 : 3,728.42 = 1,459.75 : x
  2. Step 2: Convert to fraction form
    2,701.75/3,728.42 = 1,459.75/x
  3. Step 3: Cross multiply
    2,701.75x = 3,728.42 × 1,459.75
  4. Step 4: Simplify right side
    2,701.75x = 5,442,561.10
  5. Step 5: Solve for x
    x = 5,442,561.10/2,701.75
  6. Step 6: Final answer
    x = 2,014.46

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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.