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Finding the Fourth Proportional to 2,008.59, 3,012.27 and 709.75

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Solution

The fourth proportional to 2,008.59, 3,012.27 and 709.75 is: 1,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.59 : 3,012.27 = 709.75 : x
  2. Step 2: Convert to fraction form
    2,008.59/3,012.27 = 709.75/x
  3. Step 3: Cross multiply
    2,008.59x = 3,012.27 × 709.75
  4. Step 4: Simplify right side
    2,008.59x = 2,137,958.63
  5. Step 5: Solve for x
    x = 2,137,958.63/2,008.59
  6. Step 6: Final answer
    x = 1,064.41

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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.