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Finding the Fourth Proportional to 1,641.44, 2,259.96 and 1,559.36

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Solution

The fourth proportional to 1,641.44, 2,259.96 and 1,559.36 is: 2,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.44 : 2,259.96 = 1,559.36 : x
  2. Step 2: Convert to fraction form
    1,641.44/2,259.96 = 1,559.36/x
  3. Step 3: Cross multiply
    1,641.44x = 2,259.96 × 1,559.36
  4. Step 4: Simplify right side
    1,641.44x = 3,524,091.23
  5. Step 5: Solve for x
    x = 3,524,091.23/1,641.44
  6. Step 6: Final answer
    x = 2,146.95

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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.