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Finding the Fourth Proportional to 2,028.61, 2,800.42 and 1,189.20

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Solution

The fourth proportional to 2,028.61, 2,800.42 and 1,189.20 is: 1,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.61 : 2,800.42 = 1,189.20 : x
  2. Step 2: Convert to fraction form
    2,028.61/2,800.42 = 1,189.20/x
  3. Step 3: Cross multiply
    2,028.61x = 2,800.42 × 1,189.20
  4. Step 4: Simplify right side
    2,028.61x = 3,330,256.49
  5. Step 5: Solve for x
    x = 3,330,256.49/2,028.61
  6. Step 6: Final answer
    x = 1,641.65

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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.