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Finding the Fourth Proportional to 2,205.48, 3,043.14 and 1,409.22

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Solution

The fourth proportional to 2,205.48, 3,043.14 and 1,409.22 is: 1,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.48 : 3,043.14 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    2,205.48/3,043.14 = 1,409.22/x
  3. Step 3: Cross multiply
    2,205.48x = 3,043.14 × 1,409.22
  4. Step 4: Simplify right side
    2,205.48x = 4,288,453.75
  5. Step 5: Solve for x
    x = 4,288,453.75/2,205.48
  6. Step 6: Final answer
    x = 1,944.45

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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.