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Finding the Fourth Proportional to 2,660.94, 3,992.90 and 1,102.10

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Solution

The fourth proportional to 2,660.94, 3,992.90 and 1,102.10 is: 1,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.94 : 3,992.90 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    2,660.94/3,992.90 = 1,102.10/x
  3. Step 3: Cross multiply
    2,660.94x = 3,992.90 × 1,102.10
  4. Step 4: Simplify right side
    2,660.94x = 4,400,549.62
  5. Step 5: Solve for x
    x = 4,400,549.62/2,660.94
  6. Step 6: Final answer
    x = 1,653.76

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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.