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Finding the Fourth Proportional to 2,496.24, 3,745.13 and 1,035.50

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Solution

The fourth proportional to 2,496.24, 3,745.13 and 1,035.50 is: 1,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.24 : 3,745.13 = 1,035.50 : x
  2. Step 2: Convert to fraction form
    2,496.24/3,745.13 = 1,035.50/x
  3. Step 3: Cross multiply
    2,496.24x = 3,745.13 × 1,035.50
  4. Step 4: Simplify right side
    2,496.24x = 3,878,058.21
  5. Step 5: Solve for x
    x = 3,878,058.21/2,496.24
  6. Step 6: Final answer
    x = 1,553.56

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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.