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Finding the Fourth Proportional to 2,656.86, 3,984.89 and 709.22

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Solution

The fourth proportional to 2,656.86, 3,984.89 and 709.22 is: 1,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.86 : 3,984.89 = 709.22 : x
  2. Step 2: Convert to fraction form
    2,656.86/3,984.89 = 709.22/x
  3. Step 3: Cross multiply
    2,656.86x = 3,984.89 × 709.22
  4. Step 4: Simplify right side
    2,656.86x = 2,826,140.22
  5. Step 5: Solve for x
    x = 2,826,140.22/2,656.86
  6. Step 6: Final answer
    x = 1,063.71

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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.