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Finding the Fourth Proportional to 2,477.27, 3,419.73 and 1,734.15

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Solution

The fourth proportional to 2,477.27, 3,419.73 and 1,734.15 is: 2,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.27 : 3,419.73 = 1,734.15 : x
  2. Step 2: Convert to fraction form
    2,477.27/3,419.73 = 1,734.15/x
  3. Step 3: Cross multiply
    2,477.27x = 3,419.73 × 1,734.15
  4. Step 4: Simplify right side
    2,477.27x = 5,930,311.89
  5. Step 5: Solve for x
    x = 5,930,311.89/2,477.27
  6. Step 6: Final answer
    x = 2,393.89

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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.