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Finding the Fourth Proportional to 2,189.68, 3,278.02 and 1,321.36

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Solution

The fourth proportional to 2,189.68, 3,278.02 and 1,321.36 is: 1,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.68 : 3,278.02 = 1,321.36 : x
  2. Step 2: Convert to fraction form
    2,189.68/3,278.02 = 1,321.36/x
  3. Step 3: Cross multiply
    2,189.68x = 3,278.02 × 1,321.36
  4. Step 4: Simplify right side
    2,189.68x = 4,331,444.51
  5. Step 5: Solve for x
    x = 4,331,444.51/2,189.68
  6. Step 6: Final answer
    x = 1,978.12

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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.