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Finding the Fourth Proportional to 3,054.21, 4,581.30 and 745.71

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Solution

The fourth proportional to 3,054.21, 4,581.30 and 745.71 is: 1,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.21 : 4,581.30 = 745.71 : x
  2. Step 2: Convert to fraction form
    3,054.21/4,581.30 = 745.71/x
  3. Step 3: Cross multiply
    3,054.21x = 4,581.30 × 745.71
  4. Step 4: Simplify right side
    3,054.21x = 3,416,321.22
  5. Step 5: Solve for x
    x = 3,416,321.22/3,054.21
  6. Step 6: Final answer
    x = 1,118.56

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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.