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Finding the Fourth Proportional to 2,713.99, 3,745.38 and 1,535.07

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Solution

The fourth proportional to 2,713.99, 3,745.38 and 1,535.07 is: 2,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.99 : 3,745.38 = 1,535.07 : x
  2. Step 2: Convert to fraction form
    2,713.99/3,745.38 = 1,535.07/x
  3. Step 3: Cross multiply
    2,713.99x = 3,745.38 × 1,535.07
  4. Step 4: Simplify right side
    2,713.99x = 5,749,420.48
  5. Step 5: Solve for x
    x = 5,749,420.48/2,713.99
  6. Step 6: Final answer
    x = 2,118.44

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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.