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Finding the Fourth Proportional to 2,205.18, 3,305.44 and 724.01

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Solution

The fourth proportional to 2,205.18, 3,305.44 and 724.01 is: 1,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.18 : 3,305.44 = 724.01 : x
  2. Step 2: Convert to fraction form
    2,205.18/3,305.44 = 724.01/x
  3. Step 3: Cross multiply
    2,205.18x = 3,305.44 × 724.01
  4. Step 4: Simplify right side
    2,205.18x = 2,393,178.07
  5. Step 5: Solve for x
    x = 2,393,178.07/2,205.18
  6. Step 6: Final answer
    x = 1,085.25

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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.