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Finding the Fourth Proportional to 2,081.68, 3,118.68 and 1,054.48

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Solution

The fourth proportional to 2,081.68, 3,118.68 and 1,054.48 is: 1,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.68 : 3,118.68 = 1,054.48 : x
  2. Step 2: Convert to fraction form
    2,081.68/3,118.68 = 1,054.48/x
  3. Step 3: Cross multiply
    2,081.68x = 3,118.68 × 1,054.48
  4. Step 4: Simplify right side
    2,081.68x = 3,288,585.69
  5. Step 5: Solve for x
    x = 3,288,585.69/2,081.68
  6. Step 6: Final answer
    x = 1,579.77

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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.