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Finding the Fourth Proportional to 2,189.35, 3,285.03 and 1,189.02

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Solution

The fourth proportional to 2,189.35, 3,285.03 and 1,189.02 is: 1,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.35 : 3,285.03 = 1,189.02 : x
  2. Step 2: Convert to fraction form
    2,189.35/3,285.03 = 1,189.02/x
  3. Step 3: Cross multiply
    2,189.35x = 3,285.03 × 1,189.02
  4. Step 4: Simplify right side
    2,189.35x = 3,905,970.57
  5. Step 5: Solve for x
    x = 3,905,970.57/2,189.35
  6. Step 6: Final answer
    x = 1,784.08

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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.