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Finding the Fourth Proportional to 2,745.74, 4,119.52 and 1,014.50

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Solution

The fourth proportional to 2,745.74, 4,119.52 and 1,014.50 is: 1,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.74 : 4,119.52 = 1,014.50 : x
  2. Step 2: Convert to fraction form
    2,745.74/4,119.52 = 1,014.50/x
  3. Step 3: Cross multiply
    2,745.74x = 4,119.52 × 1,014.50
  4. Step 4: Simplify right side
    2,745.74x = 4,179,253.04
  5. Step 5: Solve for x
    x = 4,179,253.04/2,745.74
  6. Step 6: Final answer
    x = 1,522.09

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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.