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Finding the Fourth Proportional to 2,054.48, 3,078.14 and 1,618.56

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Solution

The fourth proportional to 2,054.48, 3,078.14 and 1,618.56 is: 2,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.48 : 3,078.14 = 1,618.56 : x
  2. Step 2: Convert to fraction form
    2,054.48/3,078.14 = 1,618.56/x
  3. Step 3: Cross multiply
    2,054.48x = 3,078.14 × 1,618.56
  4. Step 4: Simplify right side
    2,054.48x = 4,982,146.19
  5. Step 5: Solve for x
    x = 4,982,146.19/2,054.48
  6. Step 6: Final answer
    x = 2,425.02

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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.