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Finding the Fourth Proportional to 2,069.44, 3,104.34 and 588.68

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Solution

The fourth proportional to 2,069.44, 3,104.34 and 588.68 is: 883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.44 : 3,104.34 = 588.68 : x
  2. Step 2: Convert to fraction form
    2,069.44/3,104.34 = 588.68/x
  3. Step 3: Cross multiply
    2,069.44x = 3,104.34 × 588.68
  4. Step 4: Simplify right side
    2,069.44x = 1,827,462.87
  5. Step 5: Solve for x
    x = 1,827,462.87/2,069.44
  6. Step 6: Final answer
    x = 883.07

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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.