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Finding the Fourth Proportional to 2,284.58, 3,429.81 and 1,189.70

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Solution

The fourth proportional to 2,284.58, 3,429.81 and 1,189.70 is: 1,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.58 : 3,429.81 = 1,189.70 : x
  2. Step 2: Convert to fraction form
    2,284.58/3,429.81 = 1,189.70/x
  3. Step 3: Cross multiply
    2,284.58x = 3,429.81 × 1,189.70
  4. Step 4: Simplify right side
    2,284.58x = 4,080,444.96
  5. Step 5: Solve for x
    x = 4,080,444.96/2,284.58
  6. Step 6: Final answer
    x = 1,786.08

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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.