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Finding the Fourth Proportional to 2,045.97, 3,069.56 and 659.27

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Solution

The fourth proportional to 2,045.97, 3,069.56 and 659.27 is: 989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.97 : 3,069.56 = 659.27 : x
  2. Step 2: Convert to fraction form
    2,045.97/3,069.56 = 659.27/x
  3. Step 3: Cross multiply
    2,045.97x = 3,069.56 × 659.27
  4. Step 4: Simplify right side
    2,045.97x = 2,023,678.14
  5. Step 5: Solve for x
    x = 2,023,678.14/2,045.97
  6. Step 6: Final answer
    x = 989.10

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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.