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Finding the Fourth Proportional to 2,189.09, 3,023.09 and 1,872.53

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Solution

The fourth proportional to 2,189.09, 3,023.09 and 1,872.53 is: 2,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.09 : 3,023.09 = 1,872.53 : x
  2. Step 2: Convert to fraction form
    2,189.09/3,023.09 = 1,872.53/x
  3. Step 3: Cross multiply
    2,189.09x = 3,023.09 × 1,872.53
  4. Step 4: Simplify right side
    2,189.09x = 5,660,826.72
  5. Step 5: Solve for x
    x = 5,660,826.72/2,189.09
  6. Step 6: Final answer
    x = 2,585.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.