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Finding the Fourth Proportional to 3,054.26, 4,581.35 and 745.78

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Solution

The fourth proportional to 3,054.26, 4,581.35 and 745.78 is: 1,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.26 : 4,581.35 = 745.78 : x
  2. Step 2: Convert to fraction form
    3,054.26/4,581.35 = 745.78/x
  3. Step 3: Cross multiply
    3,054.26x = 4,581.35 × 745.78
  4. Step 4: Simplify right side
    3,054.26x = 3,416,679.20
  5. Step 5: Solve for x
    x = 3,416,679.20/3,054.26
  6. Step 6: Final answer
    x = 1,118.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.