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Finding the Fourth Proportional to 1,846.75, 2,767.69 and 1,025.41

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Solution

The fourth proportional to 1,846.75, 2,767.69 and 1,025.41 is: 1,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.75 : 2,767.69 = 1,025.41 : x
  2. Step 2: Convert to fraction form
    1,846.75/2,767.69 = 1,025.41/x
  3. Step 3: Cross multiply
    1,846.75x = 2,767.69 × 1,025.41
  4. Step 4: Simplify right side
    1,846.75x = 2,838,017.00
  5. Step 5: Solve for x
    x = 2,838,017.00/1,846.75
  6. Step 6: Final answer
    x = 1,536.76

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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.