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Finding the Fourth Proportional to 2,284.76, 3,430.08 and 1,189.88

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Solution

The fourth proportional to 2,284.76, 3,430.08 and 1,189.88 is: 1,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.76 : 3,430.08 = 1,189.88 : x
  2. Step 2: Convert to fraction form
    2,284.76/3,430.08 = 1,189.88/x
  3. Step 3: Cross multiply
    2,284.76x = 3,430.08 × 1,189.88
  4. Step 4: Simplify right side
    2,284.76x = 4,081,383.59
  5. Step 5: Solve for x
    x = 4,081,383.59/2,284.76
  6. Step 6: Final answer
    x = 1,786.35

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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.