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Finding the Fourth Proportional to 3,078.06, 4,609.73 and 1,775.58

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Solution

The fourth proportional to 3,078.06, 4,609.73 and 1,775.58 is: 2,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.06 : 4,609.73 = 1,775.58 : x
  2. Step 2: Convert to fraction form
    3,078.06/4,609.73 = 1,775.58/x
  3. Step 3: Cross multiply
    3,078.06x = 4,609.73 × 1,775.58
  4. Step 4: Simplify right side
    3,078.06x = 8,184,944.39
  5. Step 5: Solve for x
    x = 8,184,944.39/3,078.06
  6. Step 6: Final answer
    x = 2,659.12

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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.