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Finding the Fourth Proportional to 3,054.54, 4,581.81 and 1,106.10

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Solution

The fourth proportional to 3,054.54, 4,581.81 and 1,106.10 is: 1,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.54 : 4,581.81 = 1,106.10 : x
  2. Step 2: Convert to fraction form
    3,054.54/4,581.81 = 1,106.10/x
  3. Step 3: Cross multiply
    3,054.54x = 4,581.81 × 1,106.10
  4. Step 4: Simplify right side
    3,054.54x = 5,067,940.04
  5. Step 5: Solve for x
    x = 5,067,940.04/3,054.54
  6. Step 6: Final answer
    x = 1,659.15

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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.