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Finding the Fourth Proportional to 2,745.84, 4,117.50 and 1,013.25

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Solution

The fourth proportional to 2,745.84, 4,117.50 and 1,013.25 is: 1,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.84 : 4,117.50 = 1,013.25 : x
  2. Step 2: Convert to fraction form
    2,745.84/4,117.50 = 1,013.25/x
  3. Step 3: Cross multiply
    2,745.84x = 4,117.50 × 1,013.25
  4. Step 4: Simplify right side
    2,745.84x = 4,172,056.88
  5. Step 5: Solve for x
    x = 4,172,056.88/2,745.84
  6. Step 6: Final answer
    x = 1,519.41

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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.