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Finding the Fourth Proportional to 2,189.81, 3,284.79 and 709.00

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Solution

The fourth proportional to 2,189.81, 3,284.79 and 709.00 is: 1,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.81 : 3,284.79 = 709.00 : x
  2. Step 2: Convert to fraction form
    2,189.81/3,284.79 = 709.00/x
  3. Step 3: Cross multiply
    2,189.81x = 3,284.79 × 709.00
  4. Step 4: Simplify right side
    2,189.81x = 2,328,899.69
  5. Step 5: Solve for x
    x = 2,328,899.69/2,189.81
  6. Step 6: Final answer
    x = 1,063.52

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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.