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Finding the Fourth Proportional to 2,660.05, 3,670.89 and 1,465.16

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Solution

The fourth proportional to 2,660.05, 3,670.89 and 1,465.16 is: 2,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.05 : 3,670.89 = 1,465.16 : x
  2. Step 2: Convert to fraction form
    2,660.05/3,670.89 = 1,465.16/x
  3. Step 3: Cross multiply
    2,660.05x = 3,670.89 × 1,465.16
  4. Step 4: Simplify right side
    2,660.05x = 5,378,450.37
  5. Step 5: Solve for x
    x = 5,378,450.37/2,660.05
  6. Step 6: Final answer
    x = 2,021.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.