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Finding the Fourth Proportional to 2,078.70, 3,110.67 and 1,670.46

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Solution

The fourth proportional to 2,078.70, 3,110.67 and 1,670.46 is: 2,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.70 : 3,110.67 = 1,670.46 : x
  2. Step 2: Convert to fraction form
    2,078.70/3,110.67 = 1,670.46/x
  3. Step 3: Cross multiply
    2,078.70x = 3,110.67 × 1,670.46
  4. Step 4: Simplify right side
    2,078.70x = 5,196,249.81
  5. Step 5: Solve for x
    x = 5,196,249.81/2,078.70
  6. Step 6: Final answer
    x = 2,499.76

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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.