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Finding the Fourth Proportional to 2,745.86, 4,119.36 and 897.08

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Solution

The fourth proportional to 2,745.86, 4,119.36 and 897.08 is: 1,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.86 : 4,119.36 = 897.08 : x
  2. Step 2: Convert to fraction form
    2,745.86/4,119.36 = 897.08/x
  3. Step 3: Cross multiply
    2,745.86x = 4,119.36 × 897.08
  4. Step 4: Simplify right side
    2,745.86x = 3,695,395.47
  5. Step 5: Solve for x
    x = 3,695,395.47/2,745.86
  6. Step 6: Final answer
    x = 1,345.81

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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.