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Finding the Fourth Proportional to 2,704.75, 3,732.56 and 1,462.75

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Solution

The fourth proportional to 2,704.75, 3,732.56 and 1,462.75 is: 2,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.75 : 3,732.56 = 1,462.75 : x
  2. Step 2: Convert to fraction form
    2,704.75/3,732.56 = 1,462.75/x
  3. Step 3: Cross multiply
    2,704.75x = 3,732.56 × 1,462.75
  4. Step 4: Simplify right side
    2,704.75x = 5,459,802.14
  5. Step 5: Solve for x
    x = 5,459,802.14/2,704.75
  6. Step 6: Final answer
    x = 2,018.60

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1.5x scale

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.