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Finding the Fourth Proportional to 2,189.59, 3,022.13 and 1,305.88

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Solution

The fourth proportional to 2,189.59, 3,022.13 and 1,305.88 is: 1,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.59 : 3,022.13 = 1,305.88 : x
  2. Step 2: Convert to fraction form
    2,189.59/3,022.13 = 1,305.88/x
  3. Step 3: Cross multiply
    2,189.59x = 3,022.13 × 1,305.88
  4. Step 4: Simplify right side
    2,189.59x = 3,946,539.12
  5. Step 5: Solve for x
    x = 3,946,539.12/2,189.59
  6. Step 6: Final answer
    x = 1,802.41

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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.