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Finding the Fourth Proportional to 3,054.70, 4,584.48 and 1,107.46

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Solution

The fourth proportional to 3,054.70, 4,584.48 and 1,107.46 is: 1,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.70 : 4,584.48 = 1,107.46 : x
  2. Step 2: Convert to fraction form
    3,054.70/4,584.48 = 1,107.46/x
  3. Step 3: Cross multiply
    3,054.70x = 4,584.48 × 1,107.46
  4. Step 4: Simplify right side
    3,054.70x = 5,077,128.22
  5. Step 5: Solve for x
    x = 5,077,128.22/3,054.70
  6. Step 6: Final answer
    x = 1,662.07

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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.