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Finding the Fourth Proportional to 2,503.33, 3,454.69 and 1,662.58

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Solution

The fourth proportional to 2,503.33, 3,454.69 and 1,662.58 is: 2,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.33 : 3,454.69 = 1,662.58 : x
  2. Step 2: Convert to fraction form
    2,503.33/3,454.69 = 1,662.58/x
  3. Step 3: Cross multiply
    2,503.33x = 3,454.69 × 1,662.58
  4. Step 4: Simplify right side
    2,503.33x = 5,743,704.90
  5. Step 5: Solve for x
    x = 5,743,704.90/2,503.33
  6. Step 6: Final answer
    x = 2,294.43

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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.